a. To find x, we can use the fact that in a triangle inscribed in a circle, the angle formed by the chord is half the measure of the central angle that intersects the same chord. Since angle PRQ is formed by chord PQ, and the central angle intersecting PQ is angle POQ which is 120 degrees, angle PRQ is half of 120 degrees, which is 60 degrees. Therefore, x = 60 degrees.
b. The triangle PQR is an isosceles triangle. This is because angle PRQ = angle PQR = 60 degrees, which means two sides (PQ and PR) are of equal length as they are opposite equal angles.
Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer.
a. Find x. The figure is not drawn to scale.
b. Is the triangle equilateral, isosceles, or scalene? Explain.
A circle is shown with triangle PQR inside of it.
1 answer
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