Question

Of the pairs of angles given below, which ones are complementary pairs and which ones are supplementary?

(1) 69°, 111°
(2) 26°, 64°
(3) 90°, 90°
(4) 50°, 40°
(5) 163°, 17°
(6) 45°, 45°
(7) 168°, 12°
(8) 35°, 55°

Answer 1

(1) Because their sum is 180°, i.e., (69° + 111°), the angles are supplementary angles.

(2) Because their sum is 90°, i.e., (26° + 64°), the angles are complementary angles.

(3) Because their sum is 180°, i.e., (90° + 90°), the angles are supplementary angles.

(4) Because their sum is 90°, i.e., (50° + 40°), the angles are complementary angles.

(5) Because their sum is 180°, i.e., (163° + 17°), the angles are supplementary angles.

(6) Because their sum is 90°, i.e., (45° + 45°), the angles are complementary angles.

(7) Because their sum is 180°, i.e., (168° + 12°), the angles are supplementary angles.

(8) Because their sum is 90°, i.e., (35° + 55°), the angles are complementary angles.