SOLUTION: in any triangle, the sum of the measures of the angle is 180 degrees. In triangle ABC, angle A is four times as large as angle B. Angle C measures 30 degrees less than angle B. Wri

Algebra ->  Angles -> SOLUTION: in any triangle, the sum of the measures of the angle is 180 degrees. In triangle ABC, angle A is four times as large as angle B. Angle C measures 30 degrees less than angle B. Wri      Log On


   

Question 699658: in any triangle, the sum of the measures of the angle is 180 degrees. In triangle ABC, angle A is four times as large as angle B. Angle C measures 30 degrees less than angle B. Write an equation that can be used to find the measure of each angle and solve it. Find the measure of angles A, B and C.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
A=4B
C=B-30
A+B+C=180
4B+B+B-30=180
6B=180+30
6B=210
B=210/6
B=35 DEGREES FOR ANGLE B.
A=4*35=140 DEGREES FOR ANGLE A.
PROOF;
35+140+5=180
180=180
C=35-30=5 DEGREES FOR ANGLE C.