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What is the name of the polygon with sum of interior angles 1080 degrees? Find the number of sides of a regular polygon if the sum of interior angles is 1080 degrees.
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4 partsStep-by-step solution
11 stepsPart 35
Part i
Give the name of the polygon.
The sum of interior angles of a polygon is given as .
The formula for the sum of interior angles of a polygon with sides is .
Set up the equation.
Solve for .
Solve for .
A polygon with 8 sides is called an octagon.
The name of the polygon is .
Part ii8
Find the number of sides of a regular polygon if the sum of interior angles is .
From the calculation in part (i), we found that the number of sides, , is 8.
The number of sides is .
Part 39
Ethan spent of his salary on food, on rent, of the remainder on school fees and saved the rest.
Part a
What fraction of the salary did he save?
Let the total salary be 1.
Calculate the total fraction spent on food and rent.
Calculate the remainder after spending on food and rent.
Calculate the fraction spent on school fees.
He spent of the remainder on school fees.
Calculate the fraction saved.
The fraction saved is the remainder minus the fraction spent on school fees.
The fraction of the salary he saved is .
Part b
If he saved sh 4800. How much more was spent on rent than on food?
Use the fraction saved to find the total salary.
Let be the total salary.
Ethan's total salary is sh 23,040.
Calculate the amount spent on rent.
Calculate the amount spent on food.
Calculate how much more was spent on rent than on food.
The negative sign indicates that sh 1920 less was spent on rent than on food.
The amount is .
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