Brijesh Dwevedi and Jitendra Gupta Solutions for Chapter: Lines and Angles, Exercise 2: Challengers*

In the given figure, lines $XY$ and $MN$ intersect at $O$. If $\angle POY=90°$ and $a=b$, then the value of $c$ is

In the given figure, lines $PQ$ and $RS$ intersect each other at point $O$, ray $OA$ and ray $OB$ bisect $\angle POR$ and $\angle POS$, respectively. If $\angle POA : \angle POB=2 : 7$, then $\angle SOQ+\angle BOQ$ is equal to

In the given figure, sides of a regular hexagon are produced, then value of the $\angle 1+\angle 2+\angle 3+\angle 4+\angle 5+\angle 6$ is

In the given figure, the value of $x$ is

If $AC=AB$, then the value of $x$ is