Question

find the angle which is 4 times its complement

Answer 1

if x is the angle, its complement will be (90-x),

because they have to add up to 90, and here x + (90 -x) = 90.

here in the question, x is equal to 4 times of its complement, so we have.

x = 4 * (90 - x) --> x = 360 - 4x --> 5x = 360 --> x = 360/5 --> x = 72.

Answer 2

Let the complementary angle be x.

The other angle is 4x.

Given that complementary angles add up to 90

5x = 90

x = 18

4x = 18 x 4 = 72

Answer: The angle is 72°