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Geometry

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The measures of 6 of the interior angles of a heptagon are: 120°, 150°, 135°, 170°, 90°, and 125°. What is the measure of the largest exterior angle?

90°
80°
75°
85°

  • Geometry -

    the sum of the interior angles of a heptagon is
    180(7-2) = 900°

    One angle is missing
    x + 120+ 150+ 135 +170 +90 +125 = 900
    x = 110

    The smallest interior angle will cause the largest exterior angle
    so largest exterior is 180 - 90 = 90°

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