Question

If m∠A = 70°, what is the measure of the supplement of the complement of ∠A?

Answer 1

Let the measure of the complementary angle be a.

70° + a = 90°

a = 90° − 70°

∴ a = 20°

Let the measure of the supplementary angle of 20° be x.

20° + x = 180°

x = 180° − 20°

∴ x = 160°

Hence, the measure of the supplement of the complement of ∠A is 160°.