Question

​ Quadrilateral ABCD ​ is inscribed in this circle.

What is the measure of ∠A ?

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°

A quadrilateral inscribed in a circle. The vertices of the quadrilateral lie on the edge of the circle and are labeled as A, B, C, D. The interior angle C is labeled as 43 degrees.

Answer 1

`ABCD\: is\: an\: inscribed\: quadrilateral \\ \Rightarrow \hat{A}+\hat{C}=180°\Leftrightarrow \hat{A} = 180° - \hat{C} = 180° - 43° = 137°`