Solve the problem.
-Two angles are complementary if their sum is 90°. If the measure of the first angle is x°, and the measure of the second angle is (3x - 2)°, find the measure of each angle.
A)1st angle = 22°; 2nd angle = 68°
B)1st angle = 22°; 2nd angle = 64°
C)1st angle = 31°; 2nd angle = 59°
D)1st angle = 23°; 2nd angle = 67°

Question

Quizplus · Accepted Answer

We know that two angles are complementary if their sum is 90°.
So, x + (3x - 2) = 90°
Simplifying the equation:
4x - 2 = 90°
4x = 92°
x = 23°
Therefore, the measure of the first angle is 23° and the measure of the second angle is (3x - 2) = 67°. So, the answer is choice D.

Solve the Problem. -Two Angles Are Complementary If Their Sum Is 90°. If