SOLUTION: A home has a triangular backyard the second angle of the triangle is 5 degrees more than the first angle. The third angle is 15 degrees more than three time the first angle. Find t

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Question 1200057: A home has a triangular backyard the second angle of the triangle is 5 degrees more than the first angle. The third angle is 15 degrees more than three time the first angle. Find the angles of the third triangular yard
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Let x be the measure of the first angle in degrees.
Then x+5 is the measure of the second angle.
And 3x+15 is the measure of the third angle.

The sum of the angle measures in a triangle is 180:

(x)+(x+5)+(3x+15)=180
5x+20=180
5x=160
x=32

first angle: x = 32
second: x+5 = 37
third: 3x+15 = 111

ANSWERS: 32, 37, and 111 degrees