Solve the problem.
-In triangle ABC, angles A and B have the same measure, while the measure of angle C is 135° larger than each of A and B. What are the measures of the three angles?
A)A and B: 15°; C: 150°
B)A and C: 130°; B: 25°
C)A and B: 150°; C: 15°
D)A and B: 25°; C: 130°

Question

Quizplus · Accepted Answer

Let x be the measure of angles A and B. Then, angle C is x + 135°. Since the sum of the angles in a triangle is 180°, we have:x + x + (x + 135°) = 180°3x + 135° = 180°3x = 45°x = 15°Therefore, angles A and B are 15° each, and angle C is 150°.

Solve the Problem. -In Triangle ABC, Angles a and B Have the Same