Question

From the adjoining figure find $x$, i $AOB$ is a straight line. Hence complete the following
$\angle AOP=--------$

Answer 1

R.E.F image

we know

that

$\angle POA+\angle POB={180}^{\circ }$ [linear pair ]

$x+10+x+10={180}^{\circ }$

$2x={180}^{\circ }$

$[x={90}^{\circ }]$

then $\angle AOP=x+10=90-10=100.$

$\angle AOP={100}^{\circ }$