Question

If in the given figure, TU || SR and TR || SV, then find $\angle b.$

Answer 1

As $TU\parallel SR$ and $TR$ is the transversal line

$\angle TRS+\angle RTU={180}^{\circ }$

$⟹\angle TRS={90}^{\circ }$

$\angle PRS=\angle TRS={90}^{\circ }$ $(\because verticallyoppositeangles)$

In $△PQR,$

$\angle P+\angle Q+\angle R={180}^{\circ }$

$⟹{50}^{\circ }+b+{90}^{\circ }={180}^{\circ }$

$⟹b={40}^{\circ }$