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BECE Mathematics 2017 Paper

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Question : 7

Total: 40

The sum of the interior angles of a regular polygon with 10 sides is

$144^{\circ}$ .
$900^{\circ}$ .
$1,440^{\circ}$ .
$1,800^{\circ}$ .

Solution:

Concept:

The sum of interior angles of a polygon depends only on its number of sides.

Explanation:

Use the formula: sum of interior angles

= (n-2) \times 180^{\circ}

, where

n

is the number of sides.

Here, the polygon has

10

sides, so

n = 10

.

Substitute

n = 10

:

Sum

= (10-2) \times 180^{\circ}

Sum

= 8 \times 180^{\circ}

Sum

= 1{,}440^{\circ}

Answer:

C.

1{,}440^{\circ}

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