Solve the problem.
-In triangle ABC, angle A is three times as large as angle C. The measure of angle B is 25° less than that of angle C. Find the measure of the angles.
A) 82° , 16° and 82°
B) 123° , 16° and 82°
C) 123° , 16° and 41°
D) 82° , 16° and 41°

Question

Quizplus · Accepted Answer

The sum of angles in a triangle is 180°. Let angle C = x. Then, angle A = 3x and angle B = x - 25. The equation is x + 3x + (x - 25) = 180. Solving gives x = 41°, so angle C = 41°, angle A = 123°, and angle B = 16°.

Solve the Problem. -In Triangle ABC, Angle a Is Three Times as Large