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

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

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

  • A.
    (57frac{1}{2}^{circ})
  • B.
    (65^{circ})
  • C.
    (106^{circ})
  • D.
    (120^{circ})
Correct Answer: Option B
Explanation

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°