o=degrees. A convex heptagon has four interior angles that measure 95o , 118o , 146o , and 160o . If the remaining interior angles are congruent, then what is the measure of those remaining angles?

Answer 1

A heptagon has 7 sides and (7-2)x180 = 900 degrees.

So 95 + 118 + 146 + 160 + 3x = 900 where 3x are the 3 remaining angles.

3x + 519 = 900

3x = 381

x = 127 degrees for each of the 3 angles.

Answer 2

For heptagon n = 6.So sum of all interiar angles : 180°(6 - 2) = 720°. So, 2 equal interier angles is

720° - (95° + 118° + 146° + 160°) = 201° and of these angles is 201°/2 = 100.5°