10-4 Angles of Polygons pt.1

Presentation

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Mathematics

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7th Grade

•

Medium

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CCSS

8.G.A.5

Standards-aligned

Benny Boyd

Used 18+ times

FREE Resource

28 Slides • 9 Questions

10-4 Angle sums of polygons

Learning Intent: I am learning to find angles of regular polygons.

Success Criteria: I can find the sum of the angles of a regular polygon.

Use the table to develop a formula for the sum of the angles for any regular polygon.

Find the sum of the interior angles of a decagon (10 sides).

Find the sum of the interior angles of a octagon.

Find the sum of the interior angles of a dodecagon (12 sides).

Find the sum of the interior angles of a 18-gon.

Fill in the bottom row of the table below.

Find the measure of each angle of a regular hexagon.

Find the measure of each angle of a regular octagon.

Find the measure of each angle of a regular nonagon.

Find the measure of each angle of a regular 20-gon.

Multiple Choice

What can the following formula be used to find?

$\frac{\left(n-2\right)180}{n}$

Sum of exterior angles

Sum of interior angles

1 regular interior angle

1 regular exterior angle

Match

Match the following definitions with the correct formula

Equation used to find what all the sum of all the angles of a specific polygon are

Equation used to find one interior angle of a specific polygon

Equation used to find one exterior angle of a specific polygon

$180\left(n-2\right)$

$\frac{180\left(n-2\right)}{n}$

$\frac{360}{n}$

Math Response

Calculate the sum of the angle measures in a polygon with 25 sides.

Type answer here

Deg^°

Rad

Math Response

What is the SUM of the angle measures in a nonagon (9 sides)?

Type answer here

Deg^°

Rad

Math Response

For a regular NONAGON, find the measure of one interior angle. _____ $\degree$

Type answer here

Deg^°

Rad

Math Response

For a regular 15-gon, find the measure of one interior angle. ___ $\degree$

Type answer here

Deg^°

Rad

Math Response

What is the sum of the measures of the interior angles of a 27-gon in degrees?

Type answer here

Deg^°

Rad

Math Response

What is the measure of EACH interior angle of a regular 20-gon in degrees?

Type answer here

Deg^°

Rad

Math Response

Find the measure of each angle indicated.

Type answer here

Deg^°

Rad

10-4 Angle sums of polygons

Learning Intent: I am learning to find angles of regular polygons.

Success Criteria: I can find the sum of the angles of a regular polygon.

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