When two chords cross within a circle, the angle created is one-half the total of the arcs intercepted by the angle and its vertical angle. The measure of ∠PRQ is 86°.
What is the Angles of Intersecting Chords Theorem?
When two chords cross within a circle, the angle created is one-half the total of the arcs intercepted by the angle and its vertical angle.
The measure of ∠PRQ is,
∠PRQ = (102°+70°)/2
∠PRQ = 172° / 2
∠PRQ = 86°
Hence, the measure of ∠PRQ is 86°.
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