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In this lesson, we will learn how to find the values of interior angles of a polygon given the number of its sides and vice versa.

Q1:

Find π₯ and π¦ .

Q2:

Write an expression for the sum of the measures of the interior angles of a polygon with π sides.

Q3:

What is the measure of the interior angle of a regular pentagon?

Q4:

Find the size of one interior angle of a regular polygon that has 5 sides.

Q5:

Each interior angle of a polygon is 1 7 9 β . How many sides does it have?

Q6:

What is the fomula for the measure of the interior angle of a regular polygon with π sides?

Q7:

Shady finds a building that has a triangular base. If he were to walk around the building, finishing at the same point, in the same direction, how many degrees would he turn?

Q8:

Determine, to the nearest minute, the measure of the interior angle of a regular polygon that has 30 sides.

Q9:

Each interior angle of a polygon is 6 0 β . How many sides does it have?

Q10:

Each interior angle of a polygon is 1 4 4 β . How many sides does it have?

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