SOLUTION: The three angles of a triangular flag are x, twice the complement of x, and one-fifth the supplement of x. Find the angle measures.

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Question 1059699: The three angles of a triangular flag are x, twice the complement of x, and one-fifth the supplement of x. Find the angle measures.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The angle values are system%28x%2C2%2890-x%29%2C%281%2F5%29%28180-x%29%2Cand%2CtheirSum=180%2Adegrees%29.

Answer by ikleyn(52876) About Me  (Show Source):
You can put this solution on YOUR website!
.
The three angles of a triangular flag are x, twice the complement of x, and one-fifth the supplement of x. Find the angle measures.
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The first angle is x degrees.
The second angle is 2*(90-x).
The third angle is %28180-x%29%2F5.

The sum of the three angles is 180 degrees, which gives you an equation

x+%2B+2%2A%2890-x%29+%2B+%28180-x%29%2F5 = 180.

Multiply both sides by 5 to get

5x + 10(90-x) + (180-x) = 900.

Simplify further and solve it for x.