Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, AD is bisector of ∠CAB and BD is bisector of ∠CBF. If the angle at C is 2y, then ∠ADB is?

 

Options:

\(\frac{y}{2}\)

5y

1.5y

y

Correct Answer:

y

Explanation:

Note the direct result :

Where AD is interior angle bisector,

and BD is exterior angle bisector

Then,

*∠ADB = \(\frac{1}{2}\)∠ACB*

Therefore, 

∠ADB = \(\frac{1}{2}\) × 2y = y