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In the Given Figure, If Cp || Dq, Then the Measure of X is - Mathematics

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MCQ

In the given figure, if CP || DQ, then the measure of x is

Options

  • 130°

  •  105°

  • 175°

  • 125°

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Solution

Let us extend PC to meet AB at point O.

It is given that BQ || PO.

Thus,∠QBOand ∠AOP are corresponding angles. Therefore,

 ∠AOP =  ∠QBO

Given that ∠QBO = 150°, then we have:

 ∠AOP = 105V

Or, 

∠AOC =105°

Also, in ΔAOC, exterior angle is equal to the sum of the interior opposite angles, therefore,

 x =  ∠AOC + ∠COA

 x = 105° + 25°

 x = 130°

Concept: Introduction to Lines and Angles
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 30 | Page 57
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