DIG DEEPER QUESTION

Question

The floor of a gazebo is in the shape of a heptagon, a seven-sided polygon. Four of the interior angles measure 135 $\degree$°​ . The other interior angles have equal measures. Find their measures.

The measure of the other interior angles is

Answer 1

The sum of all interior angles in n-sided polygon is (n-2)*180^o. Lets assume the unknown interior angle is x.

4*135 + 3*x = (7-2)*180

3x = 360

x = 120^o (Answer)