Question

The interior angles of a heptagon are x°,(x + 20)°, (x + 40)°, (x + 60)°, (x - 70°), (x - 20)° and (x + 100)°. Then find all the angles of the heptagon

Answer 1

∴ Angles of hexagon are x+10∘,2x+20∘,2x−20∘

3x-50,x+40 & x+20

We know sum of angles = 720

x+10+2x+20+2x-20+3x-50+x+40+x+20=720

⇒10x=700

x=70

Hence value of x is 70.

Answer 2

Answer:

sum of all angles in triangle 180

20+40+60+70+20+100 =310degrees