Question

find the number of sides of a regular polygon, when each of its angle has a measure 160 degree​

Answer 1

Answer:

If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20sides = 18 sides.

Answer 2

The number of sides of a regular polygon is 18 when each of its angle has a measure 160 degree​

Solution:

The measure of each interior angle of n - sided polygon is:

$Meausre\ of\ each\ interior\ angle = \frac{ (n - 2) \times 180^{\circ}}{n}$

Given, each of its angle has a measure 160 degree​

Therefore,

$160 = \frac{ (n - 2) \times 180^{\circ}}{n}\\\\16 \times n = ( n - 2 ) \times 18\\\\16n = 18n - 36\\\\2n = 36\\\\n = 18$

Thus number of sides of a regular polygon is 18

Learn more:

Find the number of sides of a regular polygon if the sum of its interior angle is 1)1260 2)1980 3)3420

https://brainly.in/question/2004492

Find the number of side of a regular polygon, if each of its interior angle is 162 degree.

https://brainly.in/question/1749998