Question

A heptagon has three equal angles each of 120 degree and four equal angles.Find the size of equal angles

Answer 1

Answer:

135°

Step-by-step explanation:

Hepatgon is a polygon with 7 sides (n=7)

Sum of interior angles of a polygon= (n-2) x 180°

Sum of Interior angles of a Heptagon= (7-2) x 180° = 900°

We know that, the given heptagon has 3 equal angles of  120° and 4 equal angles of X°

i.e., (3x120°)+(4X°)= 900°

        360°+ 4X°= 900°

                   4X°= 540°

                      X°= 135°