Solve the problem.
-In triangle ABC, the angle C is six times as large as angle A. The measure of angle B is 28° greater than that of angle A. Find the measure of the angles.
A) 19° , 66° and 95°
B) 19° , 47° and 133°
C) 19° , 66° and 114°
D) 19° , 47° and 114°

Question

Quizplus · Accepted Answer

Let angle A = x degrees. Then, angle C = 6x degrees, and angle B = x + 28 degrees. The sum of angles in a triangle is 180 degrees, so x + 6x + (x + 28) = 180. Solving this equation gives x = 19 degrees, making angle A = 19°, angle B = 47°, and angle C = 114°.

Solve the Problem. -In Triangle ABC, the Angle C Is Six Times as Six