Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The sides PQ and PR of ΔPQR are produced to points S and T, respectively. The bisectors of ∠SQR and ∠TRQ meet at point U. If ∠QUR = 69o, then the measure of ∠P is :

Options:

31o

69o

21o

42o

Correct Answer:

42o

Explanation:

We have a concept =

∠QUR = 90 - \(\frac{∠QPR}{2}\)  

69 = 90 - \(\frac{∠QPR}{2}\) 

∠QPR = 42o