Question

Help me solve and show all steps please and thank you

Answer 1

Okay. So m<A=120 m<B=120 m<C= 60 m<D = 60 :D

Work:

opposite angles add up to 180 if it's an isosceles trapezoid.
So you do 2x+x=180
3x=180
x=60
Then you plug it in.
2(60)= 120
(60)=60
and the top two angles are always congruent in an isosceles trapezoid, and the bottom two too.
so m<A=120 m<B=120 m<C= 60 m<D = 60

Answer 2

Since opposite angles in a trapezoid are supplementary (add to 180) we can say that :

x + 2x =180
3x = 180
x=60

So, angle A = 120 ° and angle C = 60°