Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

In a ΔABC, the internal bisectors of the angle B and the angle C intersect at an angle of 105°. What is the value of the angle A?

Options:

52.5°

75°

15°

30°

Correct Answer:

30°

Explanation:

 

 

 

In ∆ABC, if internal bisectors of angles B and C join at D,

⇒ BDC = 90 + BAC /2

Thus, 105 = 90 + A\2

A = 30°