In the Given Figure, If Line Segment Ab is Parallel to the Line Segment Cd, What is the Value of Y? - Mathematics

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MCQ

In the given figure, If line segment AB is parallel to the line segment CD, what is the value of y?

Options

• 12

• 15

• 18

• 20

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Solution

The figure is given as follows:

It is given that AB is parallel to CD.

Thus,∠ABDand

$\angle BDC$ are consecutive interior angles.

Therefore, their sum must be supplementary.

That is,

$\angle ABD + \angle BDC = 180^\circ$

From the figure, we get:

( y + 2y + y ) + (5y) = 180°

4y+ 5y = 180°

9y = 180°

 y =(180°)/9

y = 20°

Concept: Parallel Lines and a Transversal
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Chapter 10: Lines and Angles - Exercise 10.6 [Page 57]

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RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.6 | Q 29 | Page 57

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