The sides PQ and PR of ∆PQR are produced to points S and T, respectively. The bisectors of ∠SQR and ∠TRQ meets at point U. If ∠QUR = 69°, then the measure of ∠P is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 42°
Solution:
Given that QU and RU are the bisectors of ∠SQR and ∠TRQ respectively
Hence it is known that
∠QUR = 90° - ∠P/2
69° = 90° - ∠P/2
∠P/2 = 21°
∠P = 42°
Hence the measure of ∠P is 42°.