Question

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

Explanation:

Step1: Recall the property of a cyclic quadrilateral

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

Step2: Check the sum of opposite angles

For angles $\angle A$ and $\angle C$, $\angle A = 85^{\circ}$ and $\angle C=80^{\circ}$, so $\angle A+\angle C=85^{\circ}+80^{\circ}=165^{\circ}
eq180^{\circ}$.
For angles $\angle B$ and $\angle D$, $\angle B = 95^{\circ}$ and $\angle D = 100^{\circ}$, so $\angle B+\angle D=95^{\circ}+100^{\circ}=195^{\circ}
eq180^{\circ}$.

Answer:

B. False