Sagot :
[tex] \\ \large\color{grey}{◈ ━━━━━━━━━━━━ ⸙ ━━━━━━━━━━━━ ◈} [/tex]
[tex]\huge\color{pink}{\mid{\underline{\overline{{{\sf \:\: \: \: \: \: \: \: \: \: \: \: \: ANSWER \: \: \: \: \: \: \:\: \: \: \: \: \: }}}} \mid}}[/tex]
[tex] \large\color{grey}{◈ ━━━━━━━━━━━━ ⸙ ━━━━━━━━━━━━ ◈} \\ [/tex]
- QUADRILATERAL
[tex]\large\color{grey}{ ━━━━━━━━━━━━━━━━━━━ } \\ [/tex]
To find the number of sides of a polygon when given the sum of interior angles, we use the formula: Sum of interior angles = (n - 2) × 180, where n is the number of sides.
SOLUTION:
- [tex] \\ 360 = ((n - 2) \times 180) \\ \\ \frac{360}{180} = \frac{((n - 2) \times 180)}{180} \\ \\ 2 + 2= n - 2 + 2 \\ \\ 4 = n \\ \\ [/tex]
Hence, it is an 4-sided polygon or Quadrilateral.
[tex] \\ \large\color{grey}{◈ ━━━━━━━━━━━━ ⸙ ━━━━━━━━━━━━ ◈} \\ [/tex]