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°
Concept: Parallel Lines and a Transversal
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