Test Index

JAMB Mathematics 2014 Paper

Question : 43

Total: 47

From the figure above, what is the value of p?

Solution:

Concept:

Use vertically opposite angles and the sum of angles on a straight line.

Explanation:

From the figure,

q^o = 30^o

because they are vertically opposite angles.

Angles

(p + 2q)^o

and

30^o

lie on a straight line, so their sum is

180^o

Thus:

(p + 2q)^o + 30^o = 180^o

Substitute

q = 30

p + 2(30) + 30 = 180

Simplify:

p + 60 + 30 = 180

p + 90 = 180

Therefore,

p = 180 - 90 = 90

Answer:

p = 90^o

Correct option: B.

90^o

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