WAEC 2020 · Paper 1 · Q41

Angles, triangles & polygons

In the diagram, $PQ$ is a straight line. If $m = \frac12(x + y + z)$ , find the value of $m$ .

Worked solution (try it first)

Angles on a straight line add up to $180^\circ$ : $x + y + z + m = 180^\circ$ .
$m = \frac12(x + y + z)$ means $x + y + z = 2m$ .
So $2m + m = 180^\circ$ .
So $3m = 180^\circ$ and $m = 60^\circ$ , option B.

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