Question

Find the measure of two complementary angles if one third of the first angle
is 4 less than one third of the second angle.​

Answer 1

Step-by-step explanation:

let the first angle be x

and second angle be 90-x

ATQ, 1/3 of x-4= 1/3 of 90-x

1/3×x-4 = 1/3×90-x

x/3-4=30-x

x/3+x = 30+ 4

x+3x/3 = 34

4x/3 = 34

4x = 34 × 3

4x = 102

x = 102/4

x = 25.5(first angle)

90-x = 64.5(second angle)