Mathematics Solutions Solutions for Class 6 Maths Chapter 2 Angles are provided here with simple step-by-step explanations. These solutions for Angles are extremely popular among Class 6 students for Maths Angles Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Solutions Book of Class 6 Maths Chapter 2 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Mathematics Solutions Solutions. All Mathematics Solutions Solutions for class Class 6 Maths are prepared by experts and are 100% accurate.
Page No 8:
Question 1:
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 |
Answer:
| 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 |
Page No 8:
Question 2:
The measures of some angles are given below. Write the type of each angle.
| (1) | 75° | (2) | 0° |
| (3) | 215° | (4) | 360° |
| (5) | 180° | (6) | 120° |
| (7) | 148° | (8) | 90° |
Answer:
(i) An angle whose measure is less than 90∘ is an acute angle.
(ii) An angle whose measure is 0∘ is a zero angle.
(iii) An angle whose measure is bigger than 180∘ but less than 360∘ is a reflex angle.
(iv) An angle whose measure is 360∘ is a complete angle.
(v) An angle whose measure is 180∘ is a straight angle.
(vi) An angle whose measure is bigger than 90∘ but less than 180∘ is an obtuse angle.
(vii) An angle whose measure is bigger than 90∘ but less than 180∘ is an obtuse angle.
(viii) An angle whose measure is 90∘ is a right angle.
Page No 8:
Question 3:
Look at the figures below and write the type of each of the angles.
Answer:
(a) An angle whose measure is less than 90∘ is an acute angle.
(b) An angle whose measure is 90∘ is a right angle.
(c) An angle whose measure is bigger than 180∘ but less than 360∘ is a reflex angle.
(d) An angle whose measure is 180∘ is a straight angle.
(e) An angle whose measure is 0∘ is a zero angle
(f) An angle whose measure is 360∘ is a complete angle.
Page No 8:
Question 4:
Use a protractor to draw an acute angle, a right angle and an obtuse angle.
Answer:
Page No 11:
Question 1:
Use the proper geometrical instruments of construct the following angles. Use the compass and the ruler to bisect them.
(1) 50°
Answer:
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.
Page No 11:
Question 2:
Use the proper geometrical instruments of construct the following angles. Use the compass and the ruler to bisect them.
(2) 115°
Answer:
Steps of Constructions:
(1) Draw an angle ∠ABC of measure 115°.
(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.
Page No 11:
Question 3:
Use the proper geometrical instruments of construct the following angles. Use the compass and the ruler to bisect them.
(3) 80°
Answer:
Steps of Constructions:
(1) Draw an angle ∠ABC of measure 80°.
(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.
Page No 11:
Question 4:
Use the proper geometrical instruments of construct the following angles. Use the compass and the ruler to bisect them.
(4) 90°
Answer:
Steps of Constructions:
(1) Draw an angle ∠ABC of measure 90°.
(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.
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