If the interior angles of hexagon are 107°, 2x°, 150°, 95°, (2x-15)° and 123°, find x.

A.

\(57\frac{1}{2}^{\circ}\)

B.

\(65^{\circ}\)

C.

\(106^{\circ}\)

D.

\(120^{\circ}\)

Correct answer is B

Sum of interior angle in a hexagon = (6 - 2) x 180°

= 720°

\(\therefore\) 107° + 2x° + 150° + 95° + (2x - 15)° + 123° = 720°

460 + 4x = 720 \(\implies\) 4x = 720 - 460

4x = 260° \(\implies\) x = 65°