Question

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Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle P? You must show all work and calculations to receive credit. (10 points) Circle N is shown with an inscribed quadrilateral labeled OPQR. O is labeled 2x degrees. P is labeled y degrees. Q is labeled 2

Answer 1

Answer:

The measure of angle P is 43°

Step-by-step explanation:

If a quadrilateral is inscribed inside a circle, the sum of opposite angles are always equal to 180 degrees.

The angle POR is opposite to the angle PQR, and the angle OPQ is opposite to the angle ORQ.

So we have that:

mOPQ + mORQ = 180°

y + 3y + 8 = 180

4y = 172

y = 43°

So the measure of angle P is 43°.