Question

An angle is 2/3 of its complementary angle.Find the measure of the angle

Answer 1

Let the required angle be x.
The its complementary angle = 90-x

Given,

x/(90-x) = 2/3

(Cross multiplies)

3x = 2×(90-x)

3x = 180-2x

3x+2x = 180

5x = 180

x = 180/5

x = 36 degrees.

Its complementary angle = 90-36 = 54 degrees.