Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

An angle is $\frac{3}{7}$ times its supplementary angles. Find the angle.

Options:

54°

63°

27°

126°

Correct Answer:

54°

Explanation:

Let A and B are two angles .

A and B are supplementary angles iff

A + B = 180º

According to question ,

B = \(\frac{3}{7}\)A

A + \(\frac{3}{7}\)A  = 180º 

\(\frac{10}{7}\)A = 180º   

A = 126º

The required angle is B = 180º - 126º = 54º