Mathematics

From the adjoining figure find $$x$$,  i $$AOB$$ is a straight line. Hence complete the following 
Which is an obtuse angle?


SOLUTION
R.E.F image
Now we know 
$$\angle POA +\angle POB =180^{\circ}$$    [linear pair]
$$x+10+x-10=180^{\circ}$$
2x=180
$$[x=90^{\circ}]$$
Now $$\angle POA$$ =x+10=$$100^{\circ}$$
& $$\angle POB=x-10=90-10=80$$
$$\therefore  \angle POA$$ obtuse angle.
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