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6 August, 02:59

The floor of a gazebo is in the shape of a heptagon. Four of the interior angles measure 135 degrees. The other interior angles have equal measures.

Find their measures

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  1. 6 August, 04:33
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    In geometry, you must know that any heptagon, whether regular or not, the sum of all its interior angles is 900°. Having 7 sides, there are also 7 interior angles. Let's write down the algebraic equation using x as the unknown angle of the other interior angles.

    900 = 135 (4) + 3x

    Solving for x,

    x = 120°
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