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BECE Mathematics 2011 Paper

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Question : 24

Total: 40

In the following diagram RS and WV are parallel lines. The value of the angle marked

\alpha

$38^{\circ}$
$52^{\circ}$
$58^{\circ}$
$64^{\circ}$

Solution:

Concept:

Use corresponding angles on parallel lines and the straight-line angle sum.

Explanation:

Since

RS \parallel WV

, the corresponding angles are equal.

So,

\angle ABR = \angle BCW = 128^{\circ}

.

Now,

\angle ABR

and

\alpha

lie on the same straight line.

Therefore,

\alpha + 128^{\circ} = 180^{\circ}

.

This gives

\alpha = 180^{\circ} - 128^{\circ}

.

Hence,

\alpha = 52^{\circ}

.

Answer:

52^{\circ}

(Option B).

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