A meteorologist reports that the ratio of a snowfall in January to the total snowfall during the average winter is 2 to 5. If 34 inches have fallen in January of the current year, find the predicted total of the snowfall for the entire winter.

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

step-by-step :