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Question

The sum of 4 adjacent interior angles of a pentagon is 440, calculate the value of the 5th interior angle.

A
100
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B
110
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C
140
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D
40
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Solution

The correct option is A 100
The sum of the 4 adjacent angles of the pentagon is 440.

The number of sides in a pentagon is 5.

The sum of all the interior angles of a polygon is (n2)×180.

For a pentagon, (52)×180

=3×180

=540

Therefore, the 5th interior angle will be 540440=100

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