Trapezoid YESR is an isosceles trapezoid. If m∠YES= 77 °, what is m∠ESR?
A) 77°
B) 113°
C) 103°
D) 13°
![Trapezoid YESR is an isosceles trapezoid If mYES 77 what is mESR A 77 B 113 C 103 D 13 class=](https://us-static.z-dn.net/files/d57/c7c5d63ff64117084e36ae5c09055d97.png)
Answer:
C) 103°
Step-by-step 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°