SOLUTION: The home has a triangular backyard. The first angle of the triangle is 5 more than the second angle. The third angle is 10 less than twice the second angle. Find the angles of t

Algebra ->  Triangles -> SOLUTION: The home has a triangular backyard. The first angle of the triangle is 5 more than the second angle. The third angle is 10 less than twice the second angle. Find the angles of t      Log On


   

Question 946795: The home has a triangular backyard. The first angle of the triangle is 5 more than the second angle. The third angle is 10 less than twice the second angle. Find the angles of the triangular yard.
Found 3 solutions by Zucchini, MathTherapy, Fombitz:
Answer by Zucchini(70) About Me  (Show Source):
You can put this solution on YOUR website!
second angle: x
First angle: 5+x
Third angle: 2x-10
Work:
(x)+(5+x)+( 2x-10)= 180
8x-5 = 180
8x= 185
x=185/8 or 23.125
Now, substitute and solve.
So, first angle: 28.125
second angle: 23.125
Third angle: 36.25

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

The home has a triangular backyard. The first angle of the triangle is 5 more than the second angle. The third angle is 10 less than twice the second angle. Find the angles of the triangular yard. 


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Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the angles A, B, and C.
A=5%2BB
C=2B-10
Since it's a triangle,
A%2BB%2BC=180
Substituting,
5%2BB%2BB%2B2B-10=180
4B=185
B=185%2F4
Then,
A=5%2B185%2F4
A=20%2F4%2B185%2F4
A=205%2F4
and
C=2%28185%2F4%29-10
C=185%2F2-20%2F2
C=165%2F2