Question

If the measure of the interior angle of a regular polygon is 120o then how many sides does it have

Answer 1

Answer:

plzz give me brainliest ans and plzzzz follow me

Answer 2

Answer: 6 sides

Name of polygon: A Hexagon

Step-by-step explanation:

We know the general formula for finding the value of each of the interior angle of a regular polygon. It is given as:

$\tt{A = \frac{180(N-2)}{N}}$

Here, A = Measure of each of the interior angle of the regular polygon

N = Number of sides the regular polygon has

Substitute the value of A = 120° (Given):

$\tt{120 = \frac{180(N-2)}{N}}$

Cross-multiply:

120N = 180(N-2)

Open the brackets:

=> 120N = 180N - 360

=> 360 = 180N - 120N

=> 360 = 60N

=> N = 6

Number of sides = 6