Mathematics

Mark the correct alternative of the following.In figure, AOB is a straight line and $4x=5y$. The value of x is?

$100 ^{\circ}$

SOLUTION
Given, AOB is a straight line

So, $\angle \ \ x + \angle \ \ y = 180^o$         ..............(i)

Given, $4x = 5y$

We can write as, $y = \dfrac{4}{5}x$

According to equation (i)

$x + y = 180^o$

put the value of y in above equation

$x + \dfrac{4}{5}x = 180^o$

$\dfrac{9}{5}x = 180^o$

$x = 180^o \times \dfrac{5}{9}$

$x = 100^o$

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Single Correct Medium Published on 09th 09, 2020
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