Answer the question or solve the problem.
-The sum of the measures of the angles of any triangle is 180°. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 60° larger than each of A and B. What are the
Measures of the three angles?
A) A and B: 100°; C: 40°
B) A and C: 80°; B: 50°
C) A and B: 50°; C: 80°
D) A and B: 40°; C: 100°

Question

Quizplus · Accepted Answer

Let x be the measure of angles A and B. Then the measure of angle C is x + 60. The sum of the measures of the angles is x + x + (x + 60) = 180. Simplifying the equation, we get 3x + 60 = 180. Subtracting 60 from both sides, we get 3x = 120. Dividing by 3, we get x = 40. Therefore, the measures of the three angles are A and B: 40°, C: 100°. The answer is choice D.

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