The base and the height of a rectangle are represented by the expressions below. base=x+4 height=x-6 the perimeter of the rectangle 88 units. find the lengths of the base and the height of the rectangle.

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

so, converting firstly the mixed fractions to improper fractions and then "adding".