Practicing Success

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 bisector of ∠PBC and ∠QCB intersect at a point R. If ∠R = 68°, then measure of ∠A is .

Options:

40°

44°

50°

48°

Correct Answer:

44°

Explanation:

∠R = 90° - \(\frac{∠A}{2}\)

68° = 90° - \(\frac{∠A}{2}\)

\(\frac{∠A}{2}\) = 90° - 68° = 22°

∠A = 44°