Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In $\triangle ABC, \angle A = 54^\circ$. If I is the incenter of the triangle, then the measure of $\angle BIC$ is:

Options:

68° 

54°

148°

117°

Correct Answer:

117°

Explanation:

\(\angle\)BIC = 90 + \(\angle\)A/2

= \(\angle\)BIC = 90 + \(\frac{54}{2}\)

Therefore, \(\angle\)BIC = \({117}^\circ\).