Quadrilateral ABCD is inscribed in this circle.
1 answer:
Given:
ABCD is a cyclic quadrilateral.
m∠C = 43°
To find:
The measure of ∠A.
Solution:
<em>In cylic quadrilateral, opposite angles are supplementary.</em>
⇒ m∠A + m∠C = 180°
⇒ m∠A + 43° = 180°
Subtract 43° from both sides.
⇒ m∠A + 43° - 43° = 180° - 43°
⇒ m∠A = 137°
The measure of ∠A is 137°.
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