Question

Quadrilateral ABCD is inscribed in this circle.

Answer 1

180 °- 121°

= 59°

the answer is 59°

Answer 2

Answer:

The measure of the ∠A is 59°.  

Step-by-step 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°.