Question

Question 19

In the given figure, PQ|| SR and SP|| RQ. Then, angles a and b are respectively

(a) ${20}^{\circ },{50}^{\circ }$
(b) ${50}^{\circ },{20}^{\circ }$
(c) ${30}^{\circ },{50}^{\circ }$
(d) ${45}^{\circ },{35}^{\circ }$

Answer 1

Given PQ || SR and PR is transversal.
$\therefore \angle QPR=\angle SRP\left[alternateinternateangles\right]\Rightarrow a={20}^{\circ }$
Also SP|| RQ and PR is transversal.
$\therefore \angle SPR=\angle QRP\left[alternateinternateangles\right]\Rightarrow b={50}^{\circ }$