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Page 1
Chapter 2: Angles
PRACTICE SET 2 [PAGE 8]
Practice Set 2 | Q 1 | Page 8
Match the following:
Measure of the angle Type of angle
(1) 180° (a) Zero angle
(2) 240° (b) Straight angle
(3) 360° (c) Reflex angle
(4) 0° (d) Complete angle
SOLUTION
Measure of the angle Type of angle
(1) 180° (b) Straight angle
(2) 240° (c) Reflex angle
(3) 360° (d) Complete angle
(4) 0° (a) Zero angle
Practice Set 2 | Q 2.1 | Page 8
The measure of the angle is given below. Write the type of angle.
75°
SOLUTION
An angle whose measure is less than 90
°
is an acute angle.
Practice Set 2 | Q 2.2 | Page 8
The measure of the angle is given below. Write the type of angle.
0°
SOLUTION
An angle whose measure is 0
°
is a zero angle.
Practice Set 2 | Q 2.3 | Page 8
The measure of the angle is given below. Write the type of angle.
215°
Page 2
Chapter 2: Angles
PRACTICE SET 2 [PAGE 8]
Practice Set 2 | Q 1 | Page 8
Match the following:
Measure of the angle Type of angle
(1) 180° (a) Zero angle
(2) 240° (b) Straight angle
(3) 360° (c) Reflex angle
(4) 0° (d) Complete angle
SOLUTION
Measure of the angle Type of angle
(1) 180° (b) Straight angle
(2) 240° (c) Reflex angle
(3) 360° (d) Complete angle
(4) 0° (a) Zero angle
Practice Set 2 | Q 2.1 | Page 8
The measure of the angle is given below. Write the type of angle.
75°
SOLUTION
An angle whose measure is less than 90
°
is an acute angle.
Practice Set 2 | Q 2.2 | Page 8
The measure of the angle is given below. Write the type of angle.
0°
SOLUTION
An angle whose measure is 0
°
is a zero angle.
Practice Set 2 | Q 2.3 | Page 8
The measure of the angle is given below. Write the type of angle.
215°
SOLUTION
An angle whose measure is bigger than 180
°
but less than 360
°
is a reflex angle.
Practice Set 2 | Q 2.4 | Page 8
The measure of the angle is given below. Write the type of angle.
360°
SOLUTION
An angle whose measure is 360
°
is a complete angle.
Practice Set 2 | Q 2.5 | Page 8
The measure of the angle is given below. Write the type of angle.
180°
SOLUTION
An angle whose measure is 180
°
is a straight angle.
Practice Set 2 | Q 2.6 | Page 8
The measure of the angle is given below. Write the type of angle.
120°
SOLUTION
An angle whose measure is bigger than 90
°
but less than 180
°
is an obtuse angle.
Practice Set 2 | Q 2.7 | Page 8
The measure of the angle is given below. Write the type of angle.
148°
SOLUTION
An angle whose measure is bigger than 90
°
but less than 180
°
is an obtuse angle.
Practice Set 2 | Q 2.8 | Page 8
The measure of the angle is given below. Write the type of angle.
90°
SOLUTION
An angle whose measure is 90
°
is a right angle.
Practice Set 2 | Q 3.1 | Page 8
Look at the figure below and write the type of the angle.
Page 3
Chapter 2: Angles
PRACTICE SET 2 [PAGE 8]
Practice Set 2 | Q 1 | Page 8
Match the following:
Measure of the angle Type of angle
(1) 180° (a) Zero angle
(2) 240° (b) Straight angle
(3) 360° (c) Reflex angle
(4) 0° (d) Complete angle
SOLUTION
Measure of the angle Type of angle
(1) 180° (b) Straight angle
(2) 240° (c) Reflex angle
(3) 360° (d) Complete angle
(4) 0° (a) Zero angle
Practice Set 2 | Q 2.1 | Page 8
The measure of the angle is given below. Write the type of angle.
75°
SOLUTION
An angle whose measure is less than 90
°
is an acute angle.
Practice Set 2 | Q 2.2 | Page 8
The measure of the angle is given below. Write the type of angle.
0°
SOLUTION
An angle whose measure is 0
°
is a zero angle.
Practice Set 2 | Q 2.3 | Page 8
The measure of the angle is given below. Write the type of angle.
215°
SOLUTION
An angle whose measure is bigger than 180
°
but less than 360
°
is a reflex angle.
Practice Set 2 | Q 2.4 | Page 8
The measure of the angle is given below. Write the type of angle.
360°
SOLUTION
An angle whose measure is 360
°
is a complete angle.
Practice Set 2 | Q 2.5 | Page 8
The measure of the angle is given below. Write the type of angle.
180°
SOLUTION
An angle whose measure is 180
°
is a straight angle.
Practice Set 2 | Q 2.6 | Page 8
The measure of the angle is given below. Write the type of angle.
120°
SOLUTION
An angle whose measure is bigger than 90
°
but less than 180
°
is an obtuse angle.
Practice Set 2 | Q 2.7 | Page 8
The measure of the angle is given below. Write the type of angle.
148°
SOLUTION
An angle whose measure is bigger than 90
°
but less than 180
°
is an obtuse angle.
Practice Set 2 | Q 2.8 | Page 8
The measure of the angle is given below. Write the type of angle.
90°
SOLUTION
An angle whose measure is 90
°
is a right angle.
Practice Set 2 | Q 3.1 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is less than 90
°
is an acute angle.
Practice Set 2 | Q 3.2 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 90
°
is a right angle.
Practice Set 2 | Q 3.3 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is bigger than 180
°
but less than 360
°
is a reflex angle.
Practice Set 2 | Q 3.4 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 180
°
is a straight angle.
Practice Set 2 | Q 3.5 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 0
°
is a zero angle.
Practice Set 2 | Q 3.6 | Page 8
Page 4
Chapter 2: Angles
PRACTICE SET 2 [PAGE 8]
Practice Set 2 | Q 1 | Page 8
Match the following:
Measure of the angle Type of angle
(1) 180° (a) Zero angle
(2) 240° (b) Straight angle
(3) 360° (c) Reflex angle
(4) 0° (d) Complete angle
SOLUTION
Measure of the angle Type of angle
(1) 180° (b) Straight angle
(2) 240° (c) Reflex angle
(3) 360° (d) Complete angle
(4) 0° (a) Zero angle
Practice Set 2 | Q 2.1 | Page 8
The measure of the angle is given below. Write the type of angle.
75°
SOLUTION
An angle whose measure is less than 90
°
is an acute angle.
Practice Set 2 | Q 2.2 | Page 8
The measure of the angle is given below. Write the type of angle.
0°
SOLUTION
An angle whose measure is 0
°
is a zero angle.
Practice Set 2 | Q 2.3 | Page 8
The measure of the angle is given below. Write the type of angle.
215°
SOLUTION
An angle whose measure is bigger than 180
°
but less than 360
°
is a reflex angle.
Practice Set 2 | Q 2.4 | Page 8
The measure of the angle is given below. Write the type of angle.
360°
SOLUTION
An angle whose measure is 360
°
is a complete angle.
Practice Set 2 | Q 2.5 | Page 8
The measure of the angle is given below. Write the type of angle.
180°
SOLUTION
An angle whose measure is 180
°
is a straight angle.
Practice Set 2 | Q 2.6 | Page 8
The measure of the angle is given below. Write the type of angle.
120°
SOLUTION
An angle whose measure is bigger than 90
°
but less than 180
°
is an obtuse angle.
Practice Set 2 | Q 2.7 | Page 8
The measure of the angle is given below. Write the type of angle.
148°
SOLUTION
An angle whose measure is bigger than 90
°
but less than 180
°
is an obtuse angle.
Practice Set 2 | Q 2.8 | Page 8
The measure of the angle is given below. Write the type of angle.
90°
SOLUTION
An angle whose measure is 90
°
is a right angle.
Practice Set 2 | Q 3.1 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is less than 90
°
is an acute angle.
Practice Set 2 | Q 3.2 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 90
°
is a right angle.
Practice Set 2 | Q 3.3 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is bigger than 180
°
but less than 360
°
is a reflex angle.
Practice Set 2 | Q 3.4 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 180
°
is a straight angle.
Practice Set 2 | Q 3.5 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 0
°
is a zero angle.
Practice Set 2 | Q 3.6 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 360
°
is a complete angle.
Practice Set 2 | Q 4 | Page 8
Use a protractor to draw an acute angle, a right angle, and an obtuse angle.
SOLUTION
Actual angle
Right angle
Obtuse angle
PRACTICE SET 3 [PAGE 11]
Practice Set 3 | Q 1 | Page 11
Page 5
Chapter 2: Angles
PRACTICE SET 2 [PAGE 8]
Practice Set 2 | Q 1 | Page 8
Match the following:
Measure of the angle Type of angle
(1) 180° (a) Zero angle
(2) 240° (b) Straight angle
(3) 360° (c) Reflex angle
(4) 0° (d) Complete angle
SOLUTION
Measure of the angle Type of angle
(1) 180° (b) Straight angle
(2) 240° (c) Reflex angle
(3) 360° (d) Complete angle
(4) 0° (a) Zero angle
Practice Set 2 | Q 2.1 | Page 8
The measure of the angle is given below. Write the type of angle.
75°
SOLUTION
An angle whose measure is less than 90
°
is an acute angle.
Practice Set 2 | Q 2.2 | Page 8
The measure of the angle is given below. Write the type of angle.
0°
SOLUTION
An angle whose measure is 0
°
is a zero angle.
Practice Set 2 | Q 2.3 | Page 8
The measure of the angle is given below. Write the type of angle.
215°
SOLUTION
An angle whose measure is bigger than 180
°
but less than 360
°
is a reflex angle.
Practice Set 2 | Q 2.4 | Page 8
The measure of the angle is given below. Write the type of angle.
360°
SOLUTION
An angle whose measure is 360
°
is a complete angle.
Practice Set 2 | Q 2.5 | Page 8
The measure of the angle is given below. Write the type of angle.
180°
SOLUTION
An angle whose measure is 180
°
is a straight angle.
Practice Set 2 | Q 2.6 | Page 8
The measure of the angle is given below. Write the type of angle.
120°
SOLUTION
An angle whose measure is bigger than 90
°
but less than 180
°
is an obtuse angle.
Practice Set 2 | Q 2.7 | Page 8
The measure of the angle is given below. Write the type of angle.
148°
SOLUTION
An angle whose measure is bigger than 90
°
but less than 180
°
is an obtuse angle.
Practice Set 2 | Q 2.8 | Page 8
The measure of the angle is given below. Write the type of angle.
90°
SOLUTION
An angle whose measure is 90
°
is a right angle.
Practice Set 2 | Q 3.1 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is less than 90
°
is an acute angle.
Practice Set 2 | Q 3.2 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 90
°
is a right angle.
Practice Set 2 | Q 3.3 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is bigger than 180
°
but less than 360
°
is a reflex angle.
Practice Set 2 | Q 3.4 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 180
°
is a straight angle.
Practice Set 2 | Q 3.5 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 0
°
is a zero angle.
Practice Set 2 | Q 3.6 | Page 8
Look at the figure below and write the type of the angle.
SOLUTION
An angle whose measure is 360
°
is a complete angle.
Practice Set 2 | Q 4 | Page 8
Use a protractor to draw an acute angle, a right angle, and an obtuse angle.
SOLUTION
Actual angle
Right angle
Obtuse angle
PRACTICE SET 3 [PAGE 11]
Practice Set 3 | Q 1 | Page 11
Use the proper geometrical instruments to construct the following angle. Use the
compass and the ruler to bisect them.
50°
SOLUTION
Steps of Constructions:
(1) Draw an angle ?ABC of measure 50°.
(2) Now place the point of a compass on point B and with any convenient distance draw
an arc to cut rays BA and BC. Name the points of intersection as P and Q respectively.
(3) Now, place the point of the compass at P and taking a convenient distance, draw an
arc inside the angle. Using the same distance, draw another arc inside the angle from
the point Q, to cut the previous arc.
(4) Name the point of intersection as point O. Now draw ray BO. Ray BO is the bisector
of ?ABC.
Practice Set 3 | Q 2 | Page 11
Use the proper geometrical instruments to construct the following angle. Use the
compass and the ruler to bisect them.
115°
SOLUTION
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FAQs on Textbook Solutions: Angles - Mathematics Class 6 (Maharashtra Board)
| 1. What are angles and how are they measured? |  |
Ans. Angles are formed when two rays meet at a common endpoint, known as the vertex. They are measured in degrees (°), which determine the size of the angle. A full circle is 360 degrees, a right angle is 90 degrees, and a straight angle is 180 degrees.
| 2. What are the different types of angles? | |
Ans. There are several types of angles: acute angles (less than 90 degrees), right angles (exactly 90 degrees), obtuse angles (greater than 90 degrees but less than 180 degrees), straight angles (exactly 180 degrees), reflex angles (greater than 180 degrees but less than 360 degrees), and full angles (exactly 360 degrees).
| 3. How do you identify and classify angles in diagrams? | |
Ans. To identify and classify angles in diagrams, look for the vertex where two lines meet. Measure the angle using a protractor or visually compare it to known angles (like right angles). Classify the angle based on its measurement into acute, right, obtuse, straight, reflex, or full angles.
| 4. What is the importance of angles in real life? | |
Ans. Angles are crucial in various aspects of daily life and many professions. They are used in architecture and construction to ensure buildings are structurally sound, in sports to improve performance, in navigation for determining directions, and in art and design for creating visually appealing compositions.
| 5. Can angles be complementary or supplementary? What do these terms mean? | |
Ans. Yes, angles can be complementary or supplementary. Complementary angles are two angles that add up to 90 degrees, while supplementary angles are two angles that add up to 180 degrees. Understanding these relationships is important in solving various geometric problems.
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