a company is manufacturing a gear in the shape of a regular polygon. the measure of each angle of the gear is 162º. how many sides does the gear have? ?

Gear have 20 sides .

Step-by-step explanation:

Given : A company is manufacturing a gear in the shape of a regular polygon. The measure of each angle of the gear is 162º.

To find : How many sides does the gear have.

Solution : We have given that  each angle of polygon = 162 degree.

By the property of polygon :

Each angle of polygon = .

Where, n is number of sides polygon .

Plugging the values,

162 ° =  .

On simplify right side , we can write it as:

162  °  = .

162  °  =  180 -.

On subtracting by 180 both side.

162 -180 = -.

-18°  = - .

On multiplying by n both side

-18° × n = -360°

On dividing by - 18 by both side

n = .

n = 20 .

Therefore , gear have 20 sides .

rounding to the nearest thousandth would be 452,000

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