Example 2 Cessair owns a landscaping business. In the spring, he has many mulching jobs. He charges a flat fee
of $40 per backyard to mulch, plus $25 per hour for the time it takes. If he earned $127.50 on his last
mulching job, how many hours did the job take?

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

believe it or not anna is correct good job anna give me a fist bump there u go gal