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

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)   (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)   (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.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Let's call the angles A, B, and C.

Since it's a triangle,

Substituting,

Then,

and

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