Question

Find the angle which is 2/3 of its complement
A) 55 degree
B) 40 degree
C) 72 degree
D) 36 degree
Give reason
I will mark you as brainliest

Answer 1

Step-by-step explanation:

Let the required angle be x.

The its complementary angle = 90-x

Given, x/(90-x) = 2/3

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.