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One angle of a hexagon is 90° and all the other five angles are equal. What is the measure of each one of the equal angles?

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One angle of a hexagon is 90° and all the other five angles are equal. What is the measure of each one of the equal angles?


1). 128°
2). 122°
3). 112°
4). 130°


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Answered by on | Votes 2 |

Sum of the internal angles of a polygon with ‘n’ sides = (n - 2) × 180°

∴ For a hexagon, sum of the internal angles = (6 - 2) × 180° = 720°

Let the measure of each of the other 5 angles of the given hexagon be ‘x’

∴ According to the given conditions,

⇒ 90° + 5x = 720°

∴ x = 126°

∴ The measure of each of the other angles is 126°

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