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 ______.

पर्याय

• 131°

• 132°

• 135°

• 130°

Answer 1

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.