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Question
Two angles of a hexagon are 120° and 160°. If the remaining four angles are equal, find each equal angle.
Solution
Two angles of a hexagon are 120°, 160°
Let the remaining four angles be x, x, x and x.
Their sum = 4x + 280°
But the sum of all the interior angles of a hexagon
= (6 - 2) × 180°
= 4 × 180° = 720°
∴ 4x + 280° = 720°
⇒ 4x = 720° - 280° = 440°
⇒ x = 110°
∴ Equal angles are 110° (each)
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