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In the figure, ΔPQR, PT ⊥ QR at T and PS is the bisector of ∠QPR. If ∠PQR = 76°, and ∠TPS = 22°, then the measure of ∠PRQ is.
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28° 32° 48° 50° |
32° |
∠TPS = \(\frac{1}{2}\) (∠Q - ∠R) ⇒ 22° = \(\frac{76°\;-\;∠R}{2}\) ⇒ 44° = 76° - ∠R ⇒ ∠R = 32° |
