In triangle ABC, angle B is five times as large as angle A. The measure of angle C is 2° less than that of angle A. Find the measures of the angles. (Hint: The sum of the angle measures is 180°.)

beljuA 2020-11-08 Answered
In triangle ABC, angle B is five times as large as angle A. The measure of angle C is 2° less than that of angle A. Find the measures of the angles. (Hint: The sum of the angle measures is 180°.)
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Expert Answer

mhalmantus
Answered 2020-11-09 Author has 106 answers
We are given:
A=x,B=5x,C=x2
As hinted, the sum of the angle measures is 180° so:
A+B+C=180
x+(5x)+(x2)=180
Solve for x:
7x2=180
7x=182
x=26
So, the angle measures are:
A=x=26°
B=5x=130°
C=x2=24°
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