Question

true or false? a circle could be circumscribed about the quadrilateral below.

Explanation:

Step1: Recall the property of cyclic quadrilateral

A quadrilateral is cyclic (a circle can be circumscribed about it) if and only if the sum of its opposite angles is 180°.

Step2: Check opposite - angle sums

For the given quadrilateral, angle \(A = 115^{\circ}\) and angle \(C=65^{\circ}\), \(A + C=115^{\circ}+65^{\circ}=180^{\circ}\). Also, angle \(B = 90^{\circ}\) and angle \(D = 90^{\circ}\), \(B + D=90^{\circ}+90^{\circ}=180^{\circ}\).

Answer:

A. True