Question

If two interior angles of a hexagon are 70${}^{\circ }$ and 50${}^{\circ }$ and all the remaining interior angles are equal to $x^{\circ }$, then x = ___.

• A. 160°
• B. 150°
• C. 140°
• D. 120°

Answer 1

The correct option is B

150°

A hexagon is a polygon of 6 sides, n = 6

$\because$ Sum of interior angles of a 'n' sided polygon = (2n - 4) $\times$ 90 ${}^{\circ }$

$\Rightarrow$ Sum of the interior angles of a hexagon = (12 - 4) $\times$ 90${}^{\circ }$

$\Rightarrow$ 70${}^{\circ }$ + 50${}^{\circ }$ + $x^{\circ }$ + $x^{\circ }$ + $x^{\circ }$ + $x^{\circ }$ = 720${}^{\circ }$

$\Rightarrow$ 120${}^{\circ }$ + $4x$${}^{\circ }$ = 720${}^{\circ }$

$\Rightarrow$ $4x$${}^{\circ }$ = 600${}^{\circ }$

$\Rightarrow$ $x^{\circ }$ = 150${}^{\circ }$