Unit 8 - Lesson 1 Interior and Exterior Angles

Day 2 -
Interior and Exterior Angles

Choose a pair in accomplishing this activity!
Assign who will be the note taker, make sure to put both of your names in the paper.

Multiple Choice

Which of the following refers to the formula in getting the sum of the interior angle measure?
Don't forget to put them on your notes!

• 180 (n-2)

• 360 / n

• 360 / exterior angles

• sum of interior / n

Multiple Choice

Which of the following refers to the sum of the exterior angle measure?
Don't forget to put them on your notes!

• 180 (n-2)

• 360

• 360 / n

• sum of interior / n

Multiple Choice

Which of the following refers to the formula in getting the Interior angle measure of a regular polygon?
Don't forget to put them on your notes!

• 180 (n-2)

• 360 / n

• 360 / exterior angles

• sum of interior / n

Multiple Choice

Which of the following refers to the formula in getting the exterior angle measure of a regular polygon?
Don't forget to put them on your notes!

• 180 (n-2)

• 360 / n

• 360 / exterior angles

• sum of interior / n

Multiple Choice

Which of the following refers to the formula in getting the number of sides of a regular polygon?
Don't forget to put them on your notes!

• 180 (n-2)

• 360 / n

• 360 / exterior angles

• sum of interior / n

The following are coming from your notes. This will just help you solve each questions.

Drag and Drop

What is the sum of the measure of the interior angles of a pentagon.

Formula: 180 (n-2)

180 (​

Placeholder

-2)

180 (​

Placeholder

)Write your final answer on the paper.

Drag these tiles and drop them in the correct blank above

5

3

Drag and Drop

What is the sum of the measure of the interior angles of a 27-gon.

Formula: 180 (n-2)

180 (​
Placeholder
-2)

180 (​
Placeholder
)Write your final answer on the paper.

Drag these tiles and drop them in the correct blank above

27

25

Now follow the same steps to answer both number 3 & 4.

But for no. 3&4, after getting the sum of interior angles, you still have to divide it by the no. of sides.

Multiple Choice

5. Five angle measures 119, 129, 104, 139 and 95. What is the measure of the 6th angle?

   First, find the sum of interior angles of a hexagon.

• 720

• 540

• 360

• 900

Multiple Choice

Now, this means that the sum of all 6 angles inside should be 720.
Five angle measures 119, 129, 104, 139 and 95. What is the sum of all the first 5 angles?

• 586

• 568

• 658

• 658

Fill in the Blanks

IF the sum of all 6 angles inside should be 720 and while the sum of the first 5 angles is 586,
What should be the value of the 6th angle to get a 720?

Multiple Choice

To d no. 6, which of the following refers to the formula in getting the sum of the interior angle measure since we were the given sumo f interior angles?

• 180 (n-2)

• 360 / n

• 360 / exterior angles

• sum of interior / n

Fill in the Blanks

To answer no. 6, simply divide the given sum of interior angles by 180, then plus 2. Which is exactly the opposite of the formula 180(n-2).

Fill in the Blanks

Do the same for no. 7, simply divide the given sum of interior angles by 180, then plus 2. Which is exactly the opposite of the formula 180(n-2).

Fill in the Blanks

Do the same for no. 8, remember that the sum of the exterior angles of any polygon is always?

Drag and Drop

To do no. 9, find the sum of the measure of the interior angles of a 20-gon.

Formula: 180 (n-2)

180 (​

Placeholder

-2)

180 (​

Placeholder

)Then divide your answer to this by the number of sides.

Drag these tiles and drop them in the correct blank above

20

18

Fill in the Blanks

To do number 10, use the formula 360 divided by exterior angles. Therefore, answer should be...

Fill in the Blanks

To do number 11, find the angle supplementary to 108⁰. So what is the angle supplementary to 108⁰?

Fill in the Blanks

Now to find the answer to 11, use the formula 360 divided by exterior angles. Therefore, answer should be...

Multiple Choice

No. 12, what is the sum of the interior angles of a quadrilateral (4-sided polygon)?

• 180

• 360

• 540

• 720

Fill in the Blanks

Now to find the answer to 12, add all angles inside and subtract them from 360.

Steps in solving missing angle

Same thing will be done in no 13 - 17,

First, find the sum of interior angles of the polygon

Second, add all the angles inside

Lastly, subtract the sum of interior angles by the sum of the given angles inside.

No. 13

First, find the sum of interior angles of the polygon.
Use 180 (n-2).

Second, sum of all the given angles inside.

Lastly, subtract the sum of interior angles by the sum of the given angles inside.

No. 14, may use Desmos

First, find the sum of interior angles of the polygon which is 720.

Second, sum of all the given angles inside.

Lastly, use Desmos to solve for x by equating both
sum of all given angles = 360

No. 15, may use Desmos

First, find the sum of interior angles of the polygon which is 360.

Second, sum of all the given angles inside.

Lastly, use Desmos to solve for x by equating both
sum of all given angles = 360

No. 16, may use Desmos

First, find the sum of interior angles of a decagon.

Second, divide the answer by the no. of sides.

Lastly, use Desmos to solve for x by equating the given 10x + 4 and your answer from the second step.

No. 17, may use Desmos

Use Desmos to solve for x by equating the sum all the given angles = 360

Submit your paper to your teacher when done!