Solve the problem.
-Angles A and B are complementary angles. Determine the measures of angles A and B if angle B is 2 less than three times the size of angle A.
A)A = 22°; B = 68°
B)A = 31°; B = 59°
C)A = 23°; B = 67°
D)A = 22°; B = 64°

Question

Quizplus · Accepted Answer

Let angle A be x degrees.
Then, angle B would be (3x - 2) degrees.
Since angles A and B are complementary, we have:
x + (3x - 2) = 90
Simplifying the equation, we get:
4x - 2 = 90
4x = 92
x = 23
Therefore, angle A is 23 degrees and angle B is 67 degrees.
Hence, the answer is C.

Solve the Problem. -Angles a and B Are Complementary Angles. Determine the Measures