If AB||CD in figure, then the value of

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

If AB||CD in figure, then the value of x + y is.

Options:

180°

85°

170°

90°

Correct Answer:

85°

Explanation:

AB||CD

According to the figure,

(2x - 10)° + (2y + 20)° = 180° [Parallel line concept]

(2x + 2y)° = 180° - 20° + 10° = 170°

x + y = \(\frac{170}{2}\) = 85°