Question

The sum of all but one of the interior angles of a convex polygon is equal to 1310 degrees. What is the value of the remaining angle?

Answer 1

The sum of the interior angles of a polygon must always be 180*(n-2), where n is the number of sides.
See, it is a convex polygon. So, each angle must be less than 180,including the unknown angle A.
A<180
1310+A<1490
1310 + A is the total sum of the interior angles.
So, 180(n-2)<1490
If you solve this, the largest value of n is 10. So that 180(n-2)=1440
So, the unknown angle is 1440-1310=130
Am I right?