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HELP ASAP ​ Quadrilateral ABCD ​ is inscribed in a circle.

What is the measure of angle A?

HELP ASAP ​ Quadrilateral ABCD ​ is inscribed in a circle. What is the measure of-example-1

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Since the two given angles, angle C and angle A, are across from each other inside the quadrilateral, that means that they add to 180 degrees
A + C = 180
2x + 9 + 3x + 1 = 180
combine like terms
5x + 10 = 180
subtract 10
5x = 170
divide both sides by 5
x = 35

Angle A is (2x + 9)
2(35) + 9
70+9
Angle A is 79 degrees.

Hope this helps!
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