Question

In the given figure,$QP||RS.$ Find the values of a and b.

Answer 1

Since, $QP||RSandPR$ is transversal.
$\angle QPR=\angle SRP\left[alternateinteriorangles\right]\Rightarrow {65}^{\circ }=a\Rightarrow a={65}^{\circ }$

Also, $QP||RSandQR$ is transversal.
$\therefore \angle SRT=\angle PQR\left[correspondingangles\right]\Rightarrow b={70}^{\circ }$