10. If the sum of the measures of the interior

angles of a polygon is 5400º, how many sides

does it have?

Answer: 32 sides

Step-by-step explanation:

Formula for interior angle of a polygon = (n - 2) 180°, where n is the number of sides of the polygon

Now equate the formula to 5400°

(n - 2) * 180° = 5400°

open bracket by multiply by 180°

180n° - 360° = 5400°

180n° = 5400° + 360°

180n° = 5760

n = ⁵⁷⁶⁰/₁₈₀

n = 32

so the polygon has 32 sides