Question

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

Answer 1

R.E.F image

now

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

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

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

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

$\angle BOP=x-10=90-10={80}^{\circ }$

$[\angle BOP={80}^{\circ }]$