Answer:
8
Step-by-step explanation:
Considering the given value of sum of interior angles with exclusion of one to be 1070 then we can write it as
1070=180(n-2) where n is the number of sides required here.
Making n the subject of the formula then following step by step
[tex]n-2=\frac {1070}{180}[/tex]
[tex]n=\frac {1070}{180}+2\\n=7.9444444444444\approx 8[/tex]
Therefore, the shape is octagon and it has 8 sides.
