Question

question 5 of 10 true or false? a circle could be circumscribed about the quadrilateral below.

Explanation:

Step1: Recall the property of a cyclic quadrilateral

A necessary and sufficient condition for a quadrilateral to be cyclic (a circle can be circum - scribed about it) is that the sum of its opposite angles is 180°.

Step2: Check the sum of opposite angles

For the given quadrilateral, $\angle A+\angle C=110^{\circ}+110^{\circ} = 220^{\circ}
eq180^{\circ}$ and $\angle B+\angle D=80^{\circ}+60^{\circ}=140^{\circ}
eq180^{\circ}$.

Answer:

B. False