Please help ASAP Explanation is appreciated!

x=20, y=100

Step-by-step explanation:

3x+2x=7x-40

5x=7x-40

2x=40

x=20

7x-40=y

140-40=y

100=y

y=100

According to the exterior angle theorem, the two remote interior angles are equal to the exterior angle. This is why we set 3x+2x equal to 7x-40.

According to the vertical angles theorem, two angles that are opposite and formed by two intersecting straight lines are equal. This is why we set 7x-40 equal to y.

Because we already knew that x was 20, we could put it into our equation. (7*20)-40=y.

Hope this helped! :D

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq