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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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प्रश्न

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

विकल्प

  • 12

  • 15

  • 18

  • 20

MCQ

उत्तर

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°

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Lines and Angles - Exercise 10.6 [पृष्ठ ५७]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 10 Lines and Angles
Exercise 10.6 | Q 29 | पृष्ठ ५७

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