Question

Trapezoid YESR is an isosceles trapezoid. If m∠YES= 77 °, what is m∠ESR?

A) 77°

B) 113°

C) 103°

D) 13°

Answer 1

Trapezoid YESR is an isosceles trapezoid. If m YES= 77° , ESR is 103°

Answer 2

C) 103°

Explanation:

Because this is an isosceles trapezoid, it will have 2 pairs of equal angles. If angle YES is equal to 77°, that means that the angle that is on the same side as it will also equal 77°. Angles YRS and ERS are also equal. Assume that angle equals x. Knowing this, you can use the equation:

77+77+2x = 360

154+2x = 360

2x =360-154=206

x=206/2

x=103°