Question

one interior angle of heptagon is 210°.If the remaining angle are in the ratio 1:2:3:4:5:8 calculate the size of greatest angle.​

Answer 1

Step-by-step explanation:

let the heptagon is a,b,c,d,e,f,g

a= 210°

b=x°. eq (1)

c=2x°. eq(2)

d=3x°. eq (3)

e=4x°. eq (4)

f=5x°. eq(5)

g=8x °. eq(6)

a+b+c+d+e+f+g=360

120°+x°+2x°+3x°+4x°+5x°+8x°=360°

120°+23x°=360°

23x°=360 120°

23x°=240°

x=240°\23°

x=10.43°

the put the value of x in eq 1,2,3,4,5,6