If the interior angles of hexagon are 107°, 2x°, 150°, 95°, (2x-15)° and 123°, find...
MATHEMATICS
WAEC 2000
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: B. \(65^{\circ}\)
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°
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