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BECE Mathematics 2011 Paper

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Question : 27

Total: 40

In the diagram below,

A B

C D

are two intersecting straight lines. Find the value of the angle marked

y

$130^{\circ}$
$115^{\circ}$
$65^{\circ}$
$60^{\circ}$

Solution:

Concept:

Angles on a straight line add up to

180^{\circ}

.

Explanation:

The angle marked

y

and the angle marked

65^{\circ}

lie on the same straight line.

So, their sum must equal

180^{\circ}

.

Thus,

65^{\circ} + y = 180^{\circ}

.

Subtract

65^{\circ}

from both sides:

y = 180^{\circ} - 65^{\circ}

y = 115^{\circ}

Answer:

y = 115^{\circ}

, which is option B.

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