Question

5) The measure of each exterior angle of a regular polygon of 15 sides is
a) 30°
b) 45°
C) 60°
d) 24°​

Answer 1

Step-by-step explanation:

sum of exterior angle of a regular polygon is 360 .

since each angle will be the same

the measure of each angle=360°/15

=24°

Answer 2

$\huge\green {\underline {\mathfrak {Answer:}}}$

$\underline {\bold{\pink{Given:}}}$

➣$Number \ of \ sides = 15$

➣$Polygon \ is \ regular$

$\underline {\bold{\pink {Find:}}}$

➣$Angle$

$\underline {\bold {\pink{Solution:}}}$

✦$\color{red}{\boxed{\boxed{\color{blue}{By \ formula :}}}}$

➫$Sum \ of \ interior \ angles \ (n \ sides) = (n-2)180$

➫$In \ 15 \ sides = (15-2)180$

➫$Sum = 2340$

✦$\color{red}{\boxed{\boxed{\color{blue}{Measure \ of \ each \ angle :}}}}$

➫$Angle = \dfrac{sum}{n}$

➫$Angle = \dfrac{2340}{15}$

➫$Angle = 156^o$