WAEC 2019 · Paper 1 · Q43

In the diagram, $PQ$ is parallel to $RS$ , $\angle QFG = 105^\circ$ and $\angle FEG = 50^\circ$ . Find the value of $m$ .

Worked solution (try it first)

Angles on the straight line $PQ$ : $\angle EFG = 180^\circ - 105^\circ$
$= 75^\circ$ .
The angles of triangle $EFG$ add up to $180^\circ$ : $m = 180^\circ - 50^\circ - 75^\circ$
$= 55^\circ$ , option D.