Solve the problem.
-In a parallelogram, each of the two larger angles is 30° less than twice the smaller angles. Find the measure of each angle.
A) smaller angles = 50°; larger angles = 130°
B) smaller angles = 70°; larger angles = 110°
C) smaller angles = 10°; larger angles = 170°
D) smaller angles = 52.5°; larger angles = 127.5°

Question

Quizplus · Accepted Answer

In a parallelogram, opposite angles are equal, and the sum of adjacent angles is 180°. Let the smaller angle be x. Then the larger angle is 2x - 30°. Since x + (2x - 30°) = 180°, solving gives x = 70° and the larger angle as 110°.

Solve the Problem. -In a Parallelogram, Each of the Two Larger Angles Is