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.

Algebra ->  Parallelograms -> 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.      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
The angles are congruent, so...
5x-17+=+2x%2B13 Subtract 2x from both sides.
3x-17+=+13 Add 17 to both sides.
3x+=+30 Divide both sides by 3.
highlight%28x+=+10%29 and...
5x-17+=+2x%2B13 Substitute x = 10.
5%2810%29-17+=+2%2810%29%2B13 Simplify.
50-17+=+20%2B13
33+=+33
The measure of each angle is 33 degrees.

Answer by nyc_function(2741) About Me  (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.