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 .

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this