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WAEC Mathematics 2019 Paper

Question : 43

Total: 50

^{\circ}

^{\circ}

Solution:

Concept:

For a triangle, an exterior angle is equal to the sum of the two opposite interior angles.

Explanation:

In triangle

EFG

, the angle

\angle QFG = 105^\circ

is the exterior angle at

F

The two opposite interior angles are

\angle FEG = 50^\circ

and the angle marked

m

G

Using the exterior angle theorem:

50^\circ + m = 105^\circ

Subtract

50^\circ

from both sides:

m = 105^\circ - 50^\circ = 55^\circ

Thus, the value of

m

55^\circ

Answer:

55^\circ

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