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      Question

      In aΔPQR, the bisectors of ∠Q and ∠R meet at point

      O, inside the triangle. If ∠QOR = 107°, then the measure of ∠P is:
      A 40° Correct Answer Incorrect Answer
      B 23° Correct Answer Incorrect Answer
      C 17° Correct Answer Incorrect Answer
      D 34° Correct Answer Incorrect Answer

      Solution

      In ΔPQR, the angle bisectors of ∠Q and ∠R meet at O. Given: ∠QOR = 107° Using the angle bisector property: ∠QOR = 90° +∠P/2  Substitute the given value: 107° = 90° +∠P/2  ⟹ ∠P/2=17°  ⟹  ∠P = 34° 

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