Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a ΔABC, the sides AB and AC are extended to P and Q, respectively, the bisects of ∠PBC and ∠QCB intersect at a point R, If ∠R = 70°, then the measure of ∠A is?

Options:

20°

40°

50°

60°

Correct Answer:

40°

Explanation:

∠R = 90° - \(\frac{∠A}{2}\) 

70° = 90° - \(\frac{∠A}{2}\) 

∠A = 40°