Mathematics

Find the value of $$x$$ in the above diagram:


SOLUTION
In the given figure,
$$2x+10+3x-10+40=180^{0}$$
(Angles on one side of a straight line)
$$\Rightarrow 5x+40^{0}=180^{0}$$
$$\Rightarrow 5x=180^{0}-40^{0}=140^{0}$$
$$\Rightarrow x=28^{0}$$
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