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In the Given Figure, the Value of X is - Mathematics

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MCQ

In the given figure, the value of x is

Options

  •  12

  •  15

  •  20

  •  30

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Solution

The figure is as follows:

It is given that

 ∠2 = 90°

Also,

 ∠1 = (3X + 10)°       (vertically opposite angles)

Since, x°, ∠1and ∠2form a linear pair.

Therefore,

X +  ∠1 +  ∠2 = 180° 

X + (3x + 10° ) + 90°  = 180° 

                 4x + 100°  = 180° 

                              4x = 180°  -100° 

                              4x = 80° 

                              `x = (80° )/4`

                               x = 20° 

Concept: Concept of Parallel Lines
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 8 | Page 52

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