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
\(120^{\circ}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Sum of interior angle in a hexagon = (6 - 2) x 180^\circ
= 720^\circ
\(\therefore\) 107^\circ + 2x^\circ + 150^\circ + 95^\circ + (2x - 15)^\circ + 123^\circ = 720^\circ
460 + 4x = 720 \(\implies\) 4x = 720 - 460
4x = 260^\circ \(\implies\) x = 65^\circ
Source: WAEC / JAMB / NECO Classroom Archive (Record #26448)