Mathematics

In the adjoining figure, what value of $$x$$ will make $$AOB$$ a straight line?


ANSWER

$$x$$ = $$35$$


SOLUTION
(b) $$x$$ = $$35$$
Because,
It is given that the angles of the side be $$(2x-10)^{o}$$ and $$(3x+15)^{o}$$.
= $$(2x-10) + (3x+15)$$ = $$180$$...$$[\because Linear\,pair]$$
= $$2x-10+3x + 15$$ = $$180$$
= $$5x + 5$$ = $$180$$
= $$5x$$ = $$180-5$$
= $$x$$ = $$175/5$$
=$$x$$ = $$35$$
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