The sides PQ and PR of triangle PQR are produced to points S and T, respectively. The bisectors of ∠SQR and ∠TRQ meet at U. If ∠QUR = 79°, then the measure of ∠P is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 22°.
∠QUR = 90° - (∠P/2)
⇒ ∠P/2 = 90° - 79°
⇒ ∠P/2 = 11°
⇒ ∠P = 22°