One angle of a seven-sided polygon is 114° and each of the other six angles is x°. Then the magnitude of x is :

1. 131°c

2. 132°

3. 135°

4. 130°

By formula,

Sum of interior angles of an 'n' sided polygon = (2n - 4) × 90°.

∴ Sum of interior angles of a seven-sided polygon = (2 × 7 - 4) × 90°

= (14 - 4) × 90°

= 10 × 90° = 900°.

Given,

One angle of a seven-sided polygon is 114° and each of the other six angles is x°.

∴ 114° + 6x = 900°

⇒ 6x = 900° - 114°

⇒ 6x = 786°

⇒ x = $\dfrac{786°}{6}$ = 131°.

Hence, Option 1 is the correct option.