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All questions of Angles and Constructions for Year 8 Exam
An angle that is between 180o and 360o is a(n) .......- a)acute angle
- b)obtuse angle
- c)reflex angle
- d)right angle
Correct answer is option 'C'. Can you explain this answer?
An angle that is between 180o and 360o is a(n) .......
a)
acute angle
b)
obtuse angle
c)
reflex angle
d)
right angle
 | Nitin Unni answered |
Reflex Angle Explanation:
An angle that is between 180° and 360° is called a reflex angle. Let's break down why this is the correct answer:
- Definition of Reflex Angle:
- A reflex angle is an angle that measures greater than 180° but less than 360°. It is formed when the measure of an angle exceeds a straight angle (180°) but is less than a full rotation (360°).
- Characteristics of Reflex Angle:
- Reflex angles are always greater than 180°.
- They are typically seen in geometric shapes where the angle formed is more than a straight line but less than a full circle.
- Example:
- An angle measuring 220° would be classified as a reflex angle because it falls between 180° and 360°.
- Visual Representation:
- Imagine a clock face where the hands are pointing past the 6 o'clock position. The angle formed by the two hands would be a reflex angle.
In this question, since the angle in question falls between 180° and 360°, it is classified as a reflex angle. It is important to understand the different types of angles and their characteristics to accurately identify and classify angles based on their measurements.
An angle that is between 180° and 360° is called a reflex angle. Let's break down why this is the correct answer:
- Definition of Reflex Angle:
- A reflex angle is an angle that measures greater than 180° but less than 360°. It is formed when the measure of an angle exceeds a straight angle (180°) but is less than a full rotation (360°).
- Characteristics of Reflex Angle:
- Reflex angles are always greater than 180°.
- They are typically seen in geometric shapes where the angle formed is more than a straight line but less than a full circle.
- Example:
- An angle measuring 220° would be classified as a reflex angle because it falls between 180° and 360°.
- Visual Representation:
- Imagine a clock face where the hands are pointing past the 6 o'clock position. The angle formed by the two hands would be a reflex angle.
In this question, since the angle in question falls between 180° and 360°, it is classified as a reflex angle. It is important to understand the different types of angles and their characteristics to accurately identify and classify angles based on their measurements.
Angles on a straight line add up to what?- a)90o
- b)180o
- c)270o
- d)360o
Correct answer is option 'B'. Can you explain this answer?
Angles on a straight line add up to what?
a)
90o
b)
180o
c)
270o
d)
360o
 | Torcia Education answered |
A straight line is half a circle
Each internal angle of a regular pentagon is 108o. What is the total number of internal degrees?- a)180o
- b)360o
- c)540o
- d)720o
Correct answer is option 'C'. Can you explain this answer?
Each internal angle of a regular pentagon is 108o. What is the total number of internal degrees?
a)
180o
b)
360o
c)
540o
d)
720o
| | Torcia Education answered |
Pentagons have 5 internal angles so just multiply 108o x 5
Which type of triangle has all sides of different lengths?- a)Equilateral Triangle
- b)Isosceles Triangle
- c)Scalene Triangle
- d)Right Triangle
Correct answer is option 'C'. Can you explain this answer?
Which type of triangle has all sides of different lengths?
a)
Equilateral Triangle
b)
Isosceles Triangle
c)
Scalene Triangle
d)
Right Triangle
| | Torcia Education answered |
A scalene triangle has all sides of different lengths, whereas an equilateral triangle has all sides equal, and an isosceles triangle has at least two sides equal.
The three interior angles in a triangle add up to what?- a)90o
- b)180o
- c)270o
- d)360o
Correct answer is option 'B'. Can you explain this answer?
The three interior angles in a triangle add up to what?
a)
90o
b)
180o
c)
270o
d)
360o
| | Torcia Education answered |
An equilateral triangle has 3 interior angles each measuring 60 degrees each (3 x 60 = 180)
How do you construct a right angle using a compass and ruler?- a)Draw two intersecting lines and measure the angle between them.
- b)Start with a line segment, then use the compass to draw a perpendicular line at one endpoint of the segment.
- c)Use the protractor to measure 90° from a baseline and draw the angle.
- d)Draw a circle and mark any point on the circumference.
Correct answer is option 'B'. Can you explain this answer?
How do you construct a right angle using a compass and ruler?
a)
Draw two intersecting lines and measure the angle between them.
b)
Start with a line segment, then use the compass to draw a perpendicular line at one endpoint of the segment.
c)
Use the protractor to measure 90° from a baseline and draw the angle.
d)
Draw a circle and mark any point on the circumference.
| | Torcia Education answered |
To construct a right angle using a compass and ruler, you start with a line segment and then use the compass to draw a perpendicular line at one endpoint, ensuring the angle is 90°.
Which of the following angles is an obtuse angle?- a)45°
- b)90°
- c)120°
- d)180°
Correct answer is option 'C'. Can you explain this answer?
Which of the following angles is an obtuse angle?
a)
45°
b)
90°
c)
120°
d)
180°
| | Torcia Education answered |
An obtuse angle measures between 90° and 180°. Therefore, 120° is an obtuse angle.
Two interior angles in a triangle are 35o and 55o. What is the 3rd angle?- a)75o
- b)85o
- c)90o
- d)95o
Correct answer is option 'C'. Can you explain this answer?
Two interior angles in a triangle are 35o and 55o. What is the 3rd angle?
a)
75o
b)
85o
c)
90o
d)
95o
| | Torcia Education answered |
Take 35 and 55 from 180 to find the answer
An angle that is between 90o and 180o is a(n) .......- a)acute angle
- b)obtuse angle
- c)reflex angle
- d)right angle
Correct answer is option 'B'. Can you explain this answer?
An angle that is between 90o and 180o is a(n) .......
a)
acute angle
b)
obtuse angle
c)
reflex angle
d)
right angle
| | Torcia Education answered |
Think of obtuse angles as 'blunt' and acute angles as 'sharp'
The internal angles of a regular hexagon add up to 720o. How many degrees is each one?- a)60o
- b)90o
- c)120o
- d)150o
Correct answer is option 'C'. Can you explain this answer?
The internal angles of a regular hexagon add up to 720o. How many degrees is each one?
a)
60o
b)
90o
c)
120o
d)
150o
| | Torcia Education answered |
There are six internal angles in a hexagon. A regular hexagon has six equal angles
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