3 years ago

Quadrilateral ABCD is inscribed in a circle.

1 answer:

7 0

When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.

x + 2 + 3x + 6 = 180
4x + 8 = 180
4x = 172
x = 43

Now solve for A
3(43) + 6 = A
129 + 6 = A
135 = A

The measure of angle A is 135 degrees.

Hope this helps =)

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Quadrilateral ABCD ​ is inscribed in a circle.

Quadrilateral ABCD is inscribed in a circle.