Question

True or false? A circle could be circumscribed about the quadrilateral below

Answer 1

Answer:

A. True.

Step by step explanation:

Since we know that a circle can be circumscribed about a quadrilateral if opposite angles of quadrilateral are supplementary.

Let us check sum of measures of angle A and C.

$\angle A+\angle C=180^{o}$

$115^{o}+65^{o}=180^{o}$

$180^{o}=180^{o}$

Let us check the sum of measures of angle B and D.

$\angle B+\angle D=180^{o}$

$90^{o}+90^{o}=180^{o}$

$180^{o}=180^{o}$

Therefore, a circle can be circumscribed about our given quadrilateral and option A is the correct choice.

Answer 2

The answer that i believe in is "TRUE"