Question

find the number of sides of a regular polygon whose each exterior angle measures of 10 degree​

Answer 1

Answer:

Step-by-step explanation: Sum of exterior angles of a regular polygon is always 360° irrespective of no. of sides.

Hence, if each exterior angle measures 10°.

No. sides = 360/10

Therefore no. of sides = 36.

Answer 2

GIVEN:

each exterior angle = 10°

FIND:

No. of sides of a regular polygon.

SOLUTION:

as we know, that

☞ In a regular polygon sum of all interior angle is 360°.

$\bold{ ✪ so, no. \: of \: side \: of \: polygon = \frac{360 \degree}{exterior \: angle} } \\ \bold{\implies \frac{ \cancel{360 \degree}}{ \cancel{10 \degree} }} = 36 \\ \bold{ \longrightarrow no. \: of \: sides = 36}$

$\bold{ Hence, no. \: sides \: of \: a \: regular \: plygon} \\ \bold{whose \: exterior \: angle \: measures \: as \: 10 \degree} \bold{ is \: \boxed{ \bold36.}}$