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