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23 October, 08:07

In an equilateral hexagon, four of the exterior angles each have a measure of x°. the other two exterior angles each have a measure of twice the sum of x and 48. give the measures of the exterior angles in order from least to greatest.

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  1. 23 October, 08:25
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    A hexagon has 6 sides. Four of the exterior angle have an angle x. The other

    two angles have angle 2 (x + 48). Since rhe sum of the exterior angles of a

    regular polygon equal 360 degrees.

    We have x + x + x + x + 2 (x + 48) + 2 (x + 48) = 360

    4x + 2x + 2x + 96 + 96 = 360

    8x + 192 = 360

    8x = 360 - 192

    8x = 168

    x = 21

    For the other two sides the angles are 2 (21 + 48) = 138

    So we have 21, 21, 21, 21, 138, 138
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