Question

If all the angles of a hexagon are equal,find the measure of each angle​

Answer 1

Answer:

Since all the angles are equal

The measure of each angle can be given by

$\frac{a}{6}$

Where a is the sum of all its angles.

The sum of the angles of a polygon can be given by

$n - 2(180)$

Where n is the total number of sides.

Since a hexagon has 6 sides

The sum of all the angles is equal to

$6 - 2(180)$

Which simplifies to 720°

So, a = 720°

Hence, the measure of each angle of a hexagon is

$\frac{720}{6}$

Which is equal to

$120$

So, the answer is 120°

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Answer 2

Answer: 720 is the sum of all the angles and and 120 is the each angle

Step-by-step explanation:

use the formula

s = (n-1) x 180

hexagon has 6 sides

s = (6 - 1 ) x 180

s = ( 4 ) x 180

s = 720

each angle = total angle/ no. of side

each angle = 720/6

each angle = 120

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