Question

For an angle x°, find:
(i) the complementary angle
(ii) the supplementary angle
(iii) the value of x° if its supplementary angle is three times its complementary angle.

Answer 1

For an angle x,
(i) Complementary angle of x° = (90° – x)

(ii) Supplementary angle of x° = (180° – x)

(iii) ∵‘Supplementary angle = 3 (complementary anlge)

180° - x = 3 (90°- x)

⇒ 180°- x = 270°- 3x

⇒-x + 3x = 270°- 180°

⇒ 2x = 90°

⇒ x = `90/2` = 45°

∴ x = 45°