if angle one and angle two are complementary angles and if the measure of angle 1 is 36 degrees more than the measure of angle 2, determine the measures

Answer 1

Let A₁ = angle 1 and A₂ = angle 2

Then A₁ + A₂ = 90 degrees (Complimentary) and

A₁ = A₂ + 36 (Given Condition)

So, A₂ + A₂ + 36 = 90 2A₂ = 90-36 = 54

A₂ = 27 degrees and A₁ = 63 degrees