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WAEC Mathematics 2014 Paper

Question : 44

Total: 49

Solution:

Concept:

Use the angle-sum property of a triangle and the rule that angles on a straight line add up to

180^\circ

Explanation:

Let the interior angle of

\triangle VTU

V

z^\circ

From the parallel lines, the marked angle at

V

x^\circ

, corresponds to the given

45^\circ

Therefore,

x = 45

Since

W

V

, and

U

lie on a straight line:

x^\circ + z^\circ = 180^\circ

Substitute

x = 45

45^\circ + z^\circ = 180^\circ

z^\circ = 180^\circ - 45^\circ

z^\circ = 135^\circ

Now, in

\triangle VTU

z^\circ + y^\circ + 20^\circ = 180^\circ

135^\circ + y^\circ + 20^\circ = 180^\circ

y^\circ + 155^\circ = 180^\circ

y^\circ = 180^\circ - 155^\circ

y^\circ = 25^\circ

Answer:

B. 25

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