5. mr. martinez is getting a rug for his den and wants to make sure it will fit. he knows the area of the den is 547.35 square feet. he measured one wall and found it was 26.7 feet long. mr. martinez found a rug that measured 23.5 feet on all sides. will this rug fit in mr. martinez's den? explain.

my acc plz

step-by-step explanation:

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