Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

PQRS is a cyclic quadrilateral.  If angle P is two times the angle R and angle S is four times the angle Q, then the sum of the angles Q and R is?

Options:

96°

60°

36°

180°

Correct Answer:

96°

Explanation:

2x + x = 180°      (Sum of opposite angles in cyclic quadrilateral is 180°)

3x = 180°

x = 60°

5y = 180°

y = 36°

x + y = 60° + 36° = 96°