Can u pls tell me step by step ty

P=1440

Step-by-step explanation:

"P is 90 more than Q."

P=Q+90

"20% of P is equal to 1/3 of Q."

1/5(P)=(1/3)Q

From the first equation, we have that P=Q+90.

Thus, we can substitute any P's for Q+90's!

The second equation becomes 1/5(Q+90)=(1/3)Q

Distribute the 1/5 and 1/3 to get (1/5)Q+180=(1/3)Q

Subtract 1/5 Q from both sides.

You should get 180= (2/15)Q

Multiply both sides by 15/2 to get 1350=Q.

Given Q, we can easily solve for P.

Remember the first equation- P=Q+90

Then substitute in 1350 for Q.

So we have P=1350+90

Finally, we have P=1440

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

inverse operation of addition