Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

If PQRS is a parallelogram, the value of 'x' is

Options:

70

35

55

25

Correct Answer:

25

Explanation:

PQRS is a parallelogram, thus opposite side are always parallel.

Therefore, line SP is parallel to RQ.

"According to parallel line concept : angles made on a straight line by two parallel lines are always equal, like shown in the below figure":-

Thus,

\(\angle\)SPQ = Exterior angle at Q

x° + 45° = 70°

x° = 70° - 45° = 25°