SOLUTION: In triangle ABC, measure angle A=5x, measure angle B =4x+30,and measure angle C= 80-2x. find the measure of the largest angle in the triangle.
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Question 118615: In triangle ABC, measure angle A=5x, measure angle B =4x+30,and measure angle C= 80-2x. find the measure of the largest angle in the triangle. Answer by ilana(307) (Show Source):
You can put this solution on YOUR website! Okay the trick here: In every triangle, the angle measures add to 180 degrees. So these measures add to 5x+4x+30+80-2x=180
7x+110=180
7x=70
x=10
The angles are therefore A=5(10)=50, B=4(10)+30=70, C=80-2(10)=60 (Note: 50+70+60=180)
So the largest angle is angle B, and it measures 70 degrees.
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