Question

Quadrilateral ABCD is inscribed in this circle. What is the measure of < A? □° ( Will Mark Brainliest if answered correctly). ​

Answer 1

Answer:

m∠A = 59°

Explanation:

In a Quadrilateral, which is inscribed in a circle, tends to have opposite sides sum up to 180°

so solve:

m∠A + m∠C = 180°

m∠A + 121° = 180°

m∠A = 180°- 121°

m∠A = 59°

Answer 2

Answer:

∠A = 59°

Step-by-step explanation:

This is a cyclic quadrilateral, since every vertex of the quadrilateral touches the circumference of the circle.

The opposite angles in a cyclic quadrilateral add up to 180°

∠A is opposite to ∠C

⇒ ∠A + ∠C = 180

⇒ ∠A + 121 = 180

⇒ ∠A = 180 - 121

⇒ ∠A = 59°