Lamar will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $63.96 and costs an additional $0.12 per mile driven. the second plan has an initial fee of $49.96 and costs an additional $0.14 per mile driven. how many miles would lamar need to drive for the two plans to cost the same?

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