Question

Question 8 of 10True or False? A circle could be circumscribed about the quadrilateral below.B120°сOA. TrueA 90°OB. False60%D90°

Answer 1

A circle can be circumscribed about a quadrilateral if the opposite angles are supplementary.

The quadrilateral in the figure in the question must satisfy the following conditions, therefore:

$\begin{gathered} m\angle A+m\angle C=180\degree \\ m\angle B+m\angle D=180\degree \end{gathered}$

We can make the check as follows:

$\begin{gathered} 90+90=180 \\ 120+60=180 \end{gathered}$

Therefore, a circle could be circumscribed about the quadrilateral.

The correct option is TRUE.