WAEC 2024 · Paper 1 · Q35

In the diagram, $\overline{PQ} \parallel \overline{RS}$ , $\angle WYZ = 44^\circ$ and $\angle WXZ = 50^\circ$ . Find $\angle WTX$ .

The paper marks this diagram “not drawn to scale”; the redraw uses the true measurements.

Worked solution (try it first)

$PQ \parallel RS$ , so $\angle TWX = \angle WYZ = 44^\circ$ (alternate angles on the transversal $WY$ ).
The angles of triangle $WTX$ add up to $180^\circ$ : $\angle WTX = 180^\circ - 44^\circ - 50^\circ$
$= 86^\circ$ , option C.