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WAEC Mathematics 2024 Paper

Question : 35

Total: 50

In the diagram above, $\overline{PQ}$ || $\overline{RS}$ , $\angle$ WYZ = 44º and $\angle$ WXY = 50º. Find $\angle$ WTX

Solution:

Concept:

Alternate interior angles are equal, and the sum of angles in a triangle is

180^\circ

Explanation:

Since

\overline{PQ} \parallel \overline{RS}

and

\overline{WY}

is a transversal, alternate interior angles are equal.

So,

\angle XWY = \angle WYZ = 44^\circ

Because

T

lies on

\overline{WY}

\angle XWT = 44^\circ

\triangle WTX

Also,

\angle WXT = 50^\circ

Using the angle sum of a triangle:

44^\circ + \angle WTX + 50^\circ = 180^\circ

\angle WTX = 180^\circ - 44^\circ - 50^\circ = 86^\circ

Answer:

\angle WTX = 86^\circ

, which is option C.

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