Mathematics

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


ANSWER

$$100 ^{\circ}$$


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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