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WAEC Mathematics 2010 Paper

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Question : 38

Total: 49

What is the value of m in the diagram?

20^o
30^o
40^o
50^o

Solution:

Concept:

Vertically opposite angles are always equal.

Explanation:

From the diagram, the two angles are vertically opposite.

Therefore,

4m - 15^\circ = m + 75^\circ

.

Collect like terms:

4m - m = 75^\circ + 15^\circ

.

This gives

3m = 90^\circ

.

Divide both sides by

3

:

m = \frac{90^\circ}{3}

.

So

m = 30^\circ

.

Answer:

m = 30^\circ

Correct option: B.

30^\circ

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