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BECE Mathematics 2014 Paper

Question : 33

Total: 40

e

Solution:

Concept:

The unknown angle

e

is vertically opposite to an interior angle of the triangle, so they are equal.

Explanation:

In the triangle, the two given angles are

50^{\circ}

and

38^{\circ}

The sum of all angles in a triangle is

180^{\circ}

So, the third interior angle at

R

is:

180^{\circ} - (50^{\circ} + 38^{\circ}) = 180^{\circ} - 88^{\circ} = 92^{\circ}

Since

e

is vertically opposite to this angle,

e = 92^{\circ}

Answer:

92^{\circ}

, which is option D.

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