Question

Quadrilateral ABCD is inscribed in this circle.

What is the measure of ∠A ?

Enter your answer in the box.


°

Answer 1

Apologies on this being 4 years late, but to anyone else who stumbles across this; answer is 59°

I had taken the test and got it correct

Good luck, and i hope this helps!! :]

Answer 2

The measure of the ∠A is 59°.

Explanation:

It is given that a quadrilateral ABCD is inscribed in a circle, and from the properties of circle, we know that the sum of the opposite angles of the quadrilateral inscribed in the circle is equal to 180°.

Therefore, ∠A+∠C=180°

⇒
`A+121^(\circ)=180^(\circ)`

⇒
`A=180-121`

⇒
`A=59^(\circ)`

Therefore, the measure of the ∠A is 59°.