Question

3. Identify which of the following pairs of angles are complementary and which are
supplementary
(1) 65°, 1150
(ii) 63°, 27°
(iii) 112°, 680
(iv) 130°, 50°
(v) 45°, 45°
(vi) 80°, 10°​

Answer 1

Question :-

Identify which of the following pairs of angles are complementary and which are supplementary?

Answer :-

(i) 65°, 115°

65° (+) 115° = 180°

They are supplementary angles

(ii) 63°, 27°

63° (+) 27° = 90°

They are complementary angles.

(iii) 112°, 680

112° (+) 68° = 180°

They are supplementary angles.

(iv) 130°, 50°

130° (+) 50° = 180°

They are supplementary angles

(v) 45°, 45°

45° (+) 45° = 90°

They are complementary angles.

(vi) 80°, 10°

80° (+) 10° = 90°

They are complementary angles.

__________

Complimentary angles :-

The angles whose sum is 90° is known as complimentary angles.

Supplementary angles :-

The angles whose sum is 180° is known as supplementary angles.