Question

10. If the sum of the measures of the interior

angles of a polygon is 5400º, how many sides
does it have?

Answer 1

Answer: 32 sides

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