Zubin drew a circle with right triangle PRQ inscribed in it, as shown below: The figure shows a circle with points P, Q, and R on it forming an inscribed triangle. Side PQ is a chord through the center, and angle R is a right angle. Arc QR measures 50 degrees. If the measure of arc QR is 50°, what is the measure of angle PQR?
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andrewpattara 9 months ago5 response - 0 helps
The answer is indeed 65.
It looks like there were answer options to this question.
I'll list them: (just in case anyone is lost):
A - 75
B - 50
C - 25
D - 65
But yes 65 is the correct answer. Submitted the test and got full points on this one.
The measure of angle PQR when Zubin drew a circle with right triangle will be 65°.
How to find the measure of the angle?
From the information given, when Zubin drew a circle with right triangle, arc QR measures 50 degrees.
Therefore, the measure of angle PQR will be:
= 180° - 90° - (1/2 × 50°)
= 180° - 90° - 25°
In conclusion, the angle is 65°.
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