SOLUTION: two congruent angles of an isosceles trapezoid have measures of 5x-17 and 2x+13 whats the value of x and the measures of each of the angles.

Question 252080: two congruent angles of an isosceles trapezoid have measures of 5x-17 and 2x+13 whats the value of x and the measures of each of the angles.
Found 2 solutions by Earlsdon, nyc_function:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The angles are congruent, so...
Subtract 2x from both sides.
Add 17 to both sides.
Divide both sides by 3.
and...
Substitute x = 10.
Simplify.

The measure of each angle is 33 degrees.
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
5x-17 + 2x+13 = 180
Can you solve for x now?
When you find x, plug into each given angle to find their measure.
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