In triangle ABC, the measure of angle B is three times that of angle A. The measure of angle C is 20 degrees more than that of angle A. How do you find the angle measures?

1 Answer
CW
Oct 28, 2016

angleA=32^@
angle B=96^@
angleC=52^@

Explanation:

In a triangle, the three interior angles always add up to 180°:

Let angleA=x
=> angleB=3x
=> angleC=x+20

angleA + angleB + angleC = 180^@
=> x+3x+x+20=180
=> 5x+20=180
=> 5x=160
x=32

Therefore, angleA=x=32^@
angle B=3x=3*32=96^@
angleC=x+20=32+20=52^@

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