In the diagram above, $AB$ is parallel to $CD$ and $PQ$ is parallel to $BR$ and \(\Delta PQR

Question

In the diagram above, $AB$ is parallel to $CD$ and $PQ$ is parallel to $BR$ and $\Delta PQR$ is an isosceles triangle. It is given that $\angle QPB=113{}^\circ $, $\angle CRQ=51{}^\circ $ and $\angle BDR=59{}^\circ $. Giving your reasons, find $\angle RBD$, $\angle BRQ$, $\angle QRP$.

Accepted Answer

(a) $\angle RBD=54^\circ$ (b) $\angle BRQ=62^\circ$ (c) $\angle QRP=31^\circ$

Angles in a Figure with Parallel Lines and an Isosceles Triangle

Angles in a Figure with Parallel Lines and an Isosceles Triangle

Video Solution:

Solution:

Solution locked