Question

Two angles are complementary. The larger angle is 3° less than twice the measure of the smaller angle. Find the measure of each angle.

Answer 1

Let larger angle Be x
Other angle =x-3
Given x+x-3=90
2x=93
X=93/2
x=46.5
Therefore one angle=46.5°
Other=46.5-3=43.5

Answer 2

Let a be smaller angle and b be larger angle

According to question -
a + b = 90
But b = 2a-3
a + (2a-3) = 90
3a-3 = 90
3a = 90+3 = 93
a = 93/3 = 31
And b = 2a-3 = 2 X 31 - 3 = 62-3 = 59