Question

Find the number of sides of a regular polygon
whose each exterior angle
has a measure a 40​

Answer 1

Step-by-step explanation:

For regular polygon ,

number of sides = 360/ theta

n = 360/40 = 9

Number of sides = 9

Answer 2

GIVEN:

each exterior angle = 40°

FIND:

No. of sides of a regular polygon.

SOLUTION:

as we know, that

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

$\bold{ ✪ so, no. \: of \: side \: of \: polygon = \frac{360 \degree}{exterior \: angle} } \\ \bold{\implies \frac{ \cancel{360 \degree}}{ \cancel{40 \degree} }} = 9\\ \bold{ \longrightarrow no. \: of \: sides = 9}$

$\bold{ Hence, no. \: sides \: of \: a \: regular \: plygon} \\ \bold{whose \: exterior \: angle \: measures \: as \: 40 \degree} \bold{ is \: \boxed{ \bold9.}}$