# 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°.)

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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mhalmantus
We are given:
$A=x,B=5x,C=x-2$
As hinted, the sum of the angle measures is 180° so:
$A+B+C=180$
$x+\left(5x\right)+\left(x-2\right)=180$
Solve for x:
$7x-2=180$
$7x=182$
$x=26$
So, the angle measures are:
$A=x=26°$
$B=5x=130°$
$C=x-2=24°$