Question

How much is one outer angle for a 24 sided regular polygon? How much is its one inner angle ? What is the sum of the inner angles ? very arregent please sent the answer very urgent​

Answer 1

Answer:

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Answer 2

GIVEN :-

• Number of sides, n = 24

TO FIND :-

• Measure of one exterior angle.

• Sum of interior angles.

• Measure of one interior angle.

SOLUTION :-

$\bullet \sf \ \boxed{\bf Sum \ of \ one \ outer \ angle = \dfrac{360}{n}}$

   $\longrightarrow\sf \dfrac{360}{24}\\\\\longrightarrow\bf 15 ^{\circ}$

$\bullet\sf \ \boxed{\bf Sum \ of \ interior \ angles = 180 \times (n-2)}$

  $\longrightarrow \sf 180 \times (24-2)\\\\\longrightarrow 180 \times 22 \\\\\longrightarrow \bf 3960 ^{\circ}$

$\bullet \sf \ \boxed{\bf Sum \ of \ one \ interior \ angle =\dfrac{Sum \ of \ interior \ angles}{n} }$

   $\longrightarrow \sf \ \dfrac{3960}{24}\\\\\longrightarrow \bf 165 ^{\circ}$

EXTRA INFORMATION :-

• Sum of exterior angles = 360°

• Sum of each interior angle and exterior angle = 180°