Solve the problem.
-In triangle ABC, angle A is three times as large as angle C. The measure of angle B is 35° less than that of angle C. Find the measure of the angles.
A) $86 ^ { \circ } , 8 ^ { \circ }$ and $43 ^ { \circ }$
B) $129 ^ { \circ } , 8 ^ { \circ }$ and $86 ^ { \circ }$
C) $129 ^ { \circ } , 8 ^ { \circ }$ and $43 ^ { \circ }$
D) $86 ^ { \circ } , 8 ^ { \circ }$ and $86 ^ { \circ }$

Question

Solve the problem.
-In triangle ABC, angle A is three times as large as angle C. The measure of angle B is 35° less than that of angle C. Find the measure of the angles. 
A) $86 ^ { \circ } , 8 ^ { \circ }$ and $43 ^ { \circ }$
B) $129 ^ { \circ } , 8 ^ { \circ }$ and $86 ^ { \circ }$
C) $129 ^ { \circ } , 8 ^ { \circ }$ and $43 ^ { \circ }$
D) $86 ^ { \circ } , 8 ^ { \circ }$ and $86 ^ { \circ }$

Quizplus · Accepted Answer

The sum of angles in a triangle is 180°. Let angle C = x°, then angle A = 3x°, and angle B = x° - 35°. The equation is x + 3x + (x - 35) = 180, solving gives x = 43°, so angle C = 43°, angle A = 129°, and angle B = 8°.

Solve the Problem 86∘,8∘86 ^ { \circ } , 8 ^ { \circ }86∘,8∘

Solve the Problem $86 ^ { \circ } , 8 ^ { \circ }$