Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.
-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 = 64°
B) 1st angle = 31°; 2nd angle = 59°
C) 1st angle = 22°; 2nd angle = 68°
D) 1st angle = 23°; 2nd angle = 67°

Question

Quizplus · Accepted Answer

Since the angles are complementary, their sum equals 90°. The equation is x + (3x - 2) = 90. Solving this equation gives x = 23° for the first angle, and substituting x into (3x - 2) gives 67° for the second angle.

Let X Represent the Number