Question

Geometry math question no Guessing

Answer 1

Formula for sum of angles from number of sides is

Sum= (Sides-2)*180

And formula for for each interior angle is
Sum/Number of sides

Combining these formulae, we can make the following equation

Sum/Number of Sides= (sides-2)*180

Here interior angle=144 each

thus sum=144 x sides

Thus, 144*sides=(sides-2)*180

Thus 144n=(n-2)*180

thus 144n = 180n-360

Thus n = 360/36= 10

The polygon has 10 sides