Question

angle 1 and angle 2 are complementary angles. given the following information, find measures of both angles

Answer 1

∠1 and ∠2 are complementary.
∠1 + ∠2 = 90°

Question a:

∠1 = 23°
∠2 = 90 - 23 = 67°

Ans: 67°

Question b:
∠1 = x
∠2 = 2x + 3
x + 2x + 3 = 90
3x + 3 = 90
3x = 90 - 3
3x = 87
x = 29

∠1 = 29°
∠2 = 2(29) + 3 = 61°

Ans: ∠1 = 29°, ∠2 = 61°