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In the Given Figure, If Y X = 5 and Z X = 4 Then the Value of X Isc - Mathematics

MCQ

In the given figure, if \[\frac{y}{x} = 5\] and \[\frac{z}{x} = 4\] then the value of x isc

Options

  •  8°

  •  18°

  •  12°

  •  15°

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Solution

In the given figure, we havex°,y° and z° forming a linear pair, therefore these must be supplementary.

That is,

 x + y +z = 180°                    (i)

Also,

`y/x = 5`

 y = 5x          (ii)

And

`z/x = 4`             

  z = 4x         (iii)

Substituting (ii) and (iii) in (i), we get:

x + 5x + 4x = 180°

            10x = 180°

               `x = (180°)/10`

                x = 18°

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Q 26 | Page 57
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