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 two times the first angle. find

Question 503935: 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 two times the first angle. find the angles of the triangular yard
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
Triangle has 3 angles: a, b, and c.
a + b + c = 180 (like all triangles)
.
b = a+5
c = 2a+15
.
substitute
.
a +(a+5) +(2a+15) = 180
.
collect like terms
.
4a +20 = 180
4a = 160
a = 40
.
b = a+5
b = 45
.
c = 2a+15
c = 2(40)+15
c = 95
.
Always check your work.
What does a+b+c equal?
40+45+95 = 180
Correct.
.
Answer: The three angles of the triangle are 40, 45, and 95.
.
Done.
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