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°