Mathematics

 In the given figure, it is given that $$AOB$$ is a straight line and $$4x=5y$$. What is the value of $$x$$ ?


ANSWER

$$100$$


SOLUTION
(a) $$100$$
Because, 
Let the measure of its supplement be $$4x$$ and $$5y$$.
Then,
= $$x + (4/5)x$$ = $$180^{o}$$
= $$(5x + 4x)/5$$ = $$180$$
= $$9x$$ = $$180\times 5$$
= $$9x$$ = $$900$$
= $$x$$ = $$900/9$$
= $$x$$ = $$100$$
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