Question

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

Answer 1

the answer that i believe in is "TRUE"

Answer 2

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.