Question

Which statement is true about every exterior angle of any quadrilateral inscribed in a circle?

The measure of an exterior angle is equal to the measure of the nonadjacent interior angle.


The measure of an exterior angle is equal to the measure of an adjacent interior angle.


The measure of an exterior angle is equal to the average of the measures of the two adjacent interior angles.


The measure of an exterior angle is equal to the difference of the measures of the two adjacent interior angles.

Answer 1

A

Explanation:

In an inscribed quadrilateral, opposite angles are supplementary.

An exterior angle of a quadrilateral is supplementary to the adjacent interior angle.

Since the exterior angle is supplementary to both the adjacent interior angle and to the opposite interior angle, the exterior angle and the opposite interior angle are congruent.

Answer: A