Class 6 Exam > Class 6 Notes > Maths Olympiad Class 6 > Everyday Mathematics: Lines and Angles
Everyday Mathematics: Lines and Angles | Maths Olympiad Class 6 PDF Download
Q1: Which of the following is an obtuse angle
a) 45°
b) 60°
c) 90°
d) 120°
Ans: d) 120°
Explanation: An obtuse angle is more than 90° and less than 180°. 120° fits this.
Q2: Two angles are complementary. One angle is 35°. What is the other angle?
a) 45°
b) 55°
c) 65°
d) 75°
Ans: b) 55°
Explanation: Complementary angles add up to 90°. 90 – 35 = 55.
Q3: Which of the following pairs of lines will never meet, even if extended infinitely?
a) Intersecting lines
b) Perpendicular lines
c) Parallel lines
d) Rays
Ans: c) Parallel lines
Explanation: Parallel lines remain the same distance apart and never intersect.
Q4: If one angle on a straight line is 110°, what is the measure of the other angle?
a) 70°
b) 60°
c) 90°
d) 50°
Ans: a) 70°
Explanation: Angles on a straight line add up to 180°. 180 – 110 = 70.
Q5: Which figure always contains a right angle?
a) Triangle
b) Square
c) Rhombus
d) Parallelogram
Ans: b) Square
Explanation: A square has four right angles. Other shapes may or may not have right angles.
Q6: When two straight lines intersect, the opposite angles formed are called:
a) Adjacent angles
b) Complementary angles
c) Vertically opposite angles
d) Supplementary angles
Ans: c) Vertically opposite angles
Explanation: When two lines cross, the opposite angles are equal and are called vertically opposite angles.
The document Everyday Mathematics: Lines and Angles | Maths Olympiad Class 6 is a part of the Class 6 Course Maths Olympiad Class 6.
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FAQs on Everyday Mathematics: Lines and Angles - Maths Olympiad Class 6
| 1. What are the different types of angles and how are they classified? |  |
Ans. Angles are classified based on their measures. The main types of angles include:
- Acute Angle: An angle measuring less than 90 degrees.
- Right Angle: An angle measuring exactly 90 degrees.
- Obtuse Angle: An angle measuring more than 90 degrees but less than 180 degrees.
- Straight Angle: An angle measuring exactly 180 degrees.
- Reflex Angle: An angle measuring more than 180 degrees but less than 360 degrees.
| 2. How do parallel lines and intersecting lines differ? | |
Ans. Parallel lines are lines in a plane that never meet and are always the same distance apart, meaning they have the same slope. Intersecting lines, on the other hand, are lines that cross each other at a point. The angles formed at the intersection can vary, leading to different angle relationships such as complementary and supplementary angles.
| 3. What is the relationship between complementary and supplementary angles? | |
Ans. Complementary angles are two angles whose measures add up to 90 degrees, while supplementary angles are two angles whose measures add up to 180 degrees. For example, if one angle measures 30 degrees, its complementary angle would measure 60 degrees, and its supplementary angle would measure 150 degrees.
| 4. How can we use a protractor to measure angles accurately? | |
Ans. To measure an angle using a protractor, follow these steps:
1. Place the midpoint of the protractor (the small hole) at the vertex of the angle.
2. Align one side of the angle with the zero line of the protractor.
3. Read the measurement on the protractor where the other side of the angle crosses the number scale. Make sure to use the correct scale depending on the orientation of the angle.
| 5. What are some practical applications of understanding lines and angles in everyday life? | |
Ans. Understanding lines and angles is essential in various practical applications, such as:
- Architecture: Designing buildings and structures requires knowledge of angles to ensure stability and aesthetics.
- Art: Artists use angles to create perspective and depth in their work.
- Navigation: Angles are used in maps and compass readings to determine direction.
- Sports: Players often need to calculate angles for optimal performance, such as in basketball shots or soccer passes.
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