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 \(120^{\circ}\)
waec 2000mathematics

The correct answer is B. \(65^{\circ}\)

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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