Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, if  ∠RPS = 25° , the value of ∠ROS is ______.

Options:

155°

145°

135°

165°

Correct Answer:

155°

Explanation:

In quadrilateral PROS

∠P + ∠R + ∠O + ∠S = 360º

[ Angle made by radius on tangent touching circumference is 90º ]

90º + 90º + ∠O + 25º  = 360º 

∠O = 155º 

So, ∠ROS = 155º