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Question
One angle of a seven-sided polygon is 114°, and each of the other six angles is x°. Then the magnitude of x is ______.
Options
131°
132°
135°
130°
MCQ
Fill in the Blanks
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Solution
One angle of a seven-sided polygon is 114°, and each of the other six angles is x°. Then the magnitude of x is 131°.
Explanation:
The sum of the interior angles of a seven-sided polygon is given by (7 − 2) 180°, which equals 900°. Setting up the equation 114° + 6x° = 900° and solving for x yields 6x = 786, resulting in x = 131.
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