Test Index

WAEC Mathematics 2017 Paper

Question : 47

Total: 49

Solution:

Concept:

Use the angle relationships given in the diagram to form equations and solve for

m

Explanation:

From the diagram, the two angle relations are:

m + 2x = 180^\circ

m + x = 112^\circ

From the second equation:

x = 112^\circ - m

Substitute

x = 112^\circ - m

into the first equation:

m + 2(112^\circ - m) = 180^\circ

m + 224^\circ - 2m = 180^\circ

224^\circ - m = 180^\circ

Rearrange to find

m

224^\circ - 180^\circ = m

m = 44^\circ

Answer:

m = 44^\circ

Correct option: C.

44^\circ

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