Solve the problem.
-Two angles have a sum of 108°. Their difference is 6°. Find the angles.
A)53° and 59°
B)103° and 5°
C)55° and 53°
D)57° and 51°

Question

Quizplus · Accepted Answer

Let x be the larger angle and y be the smaller angle. We know that:
x + y = 108 (equation 1)
x - y = 6 (equation 2)
Adding equation 1 and equation 2 gives:
2x = 114
x = 57
Substituting x = 57 into equation 1 gives:
y = 108 - 57 = 51
Therefore, the angles are 57° and 51°, which corresponds to choice D.

Solve the Problem. -Two Angles Have a Sum of 108°. Their Difference Is