Question

If the ratio of the complementary angle and the supplementary angle of an angle ∠A is 1∶4, then find ∠A. Answer the correct answer to get brainliest for the answer!

Answer 1

Answer:

Let one angle be 'x'

then Supplement will be (180°-x)

and,

Complementary will be (90°-x)

Given ratio is 1:4 therefore,

180°-×/90°-x = 1/4

720°- 4x = 90°-x

720°-90° = 4x-x

630° = 3x

thus, x = 210°