Question

Find the number of side of a regular polygon if the sum it's interior angle is 2880

Answer 1

$\red {\huge {\underline{ \frak{Your \: answEr : }}}}$

$</p><p> \large \green{ \underline{\mathcal{\star \:Given : }}}$

• Sum of Interior Angles of a Regular Polygon is 2880°.

$</p><p>\large \green{ \underline{\mathcal{\star \: To \: Find : }}}$

• Find the Number of Sides of Regular Polygon.

$</p><p>\large \green{ \underline{\mathcal{\star \: Solution : }}}$

• Let the Number of Sides of Polygon be 'n'.

♡ We Know that ;

$\scriptsize{\boxed{ \bold{\blacksquare~Sum~of~Interior~Angles = (2n - 4) \times 90°}}}$

$\large\longrightarrow \bold{2880° = (2n - 4) \times90° }$

$\large\longrightarrow \bold{(2n - 4) = \frac{2880°}{90°} }$

$\large\longrightarrow \bold{(2n - 4) = 32}$

$\large\longrightarrow \bold{2n = 32 + 4}$

$\large\longrightarrow \bold{n = \frac{36}{2} }$

$\huge\blue{\boxed{ \longrightarrow \bold{ n = 18 }}}$

Answer 2

Step-by-step explanation:

your answer is correct I hope