Question

The angles of a heptagon are as follows:
x, x + 20, x + 30, x + 40, x − 10, x + 70, x − 20
Find the measure of each angle of the heptagon.

Answer 1

Step-by-step explanation:

Sum of angles in heptagon is 900°

x+x+20+x+30+x+40+x-10+x+70+x-20=900°

7x+130=900°

7x=900°-130°

7x=770°

x=110°

Angles are

x,x+20,x+30,x+40,x-10,x+70,x-20

110°,130°,140°,150°,100°,180°,90°