SOLUTION: The exterior angles of a convex hexagon measure 35 degrees, 50, 55, and 60 degrees. The other two angles are congruent. Determine the measures of the interior angles of the hexagon

Algebra ->  Polygons -> SOLUTION: The exterior angles of a convex hexagon measure 35 degrees, 50, 55, and 60 degrees. The other two angles are congruent. Determine the measures of the interior angles of the hexagon      Log On


   



Question 1152271: The exterior angles of a convex hexagon measure 35 degrees, 50, 55, and 60 degrees. The other two angles are congruent. Determine the measures of the interior angles of the hexagon
Answer by Alan3354(69443) About Me  (Show Source):
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The exterior angles of a convex hexagon measure 35 degrees, 50, 55, and 60 degrees. The other two angles are congruent. Determine the measures of the interior angles of the hexagon
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E = # of degrees of the other 2 angles.
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35 + 50 + 55 + 60 + E + E = 360
200 + 2E = 360
E = 80 degrees
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Each interior angle = 180 - exterior angle