Mr. Gainor Angle Sum Lesson

Mr. Gainor Angle Sum Lesson

by Booker Gainor

• The angles inside a polygon are

  called interior angles.

• When the

  sides of a polygon are extended,

  other angles are formed. The angles

  outside the polygon that are

  adjacent to the interior angles

  are called exterior angles.

Interior Angle Measures of a Triangle

• The sum of the interior angle

  measures of a triangle is 180°.

• x + y + z = 180

Multiple Choice

In a triangle, how many total degrees are there?

• 100%
• 180 degrees
• it varies
• 360 degrees

Multiple Choice

Find the measure of the indicated angle. 

• 95
• 85
• 35
• 45

Exterior Angle Measures of a Triangle

• The measure of an exterior angle

  of a triangle is equal to the sum

  of the measures of the two

  nonadjacent interior angles.

• z = x + y

Find the value of x

Multiple Choice

Which of the following terms best describes Angle d?

• Remote interior angle

• Corresponding angle

• Exterior angle

• Interior angle

Multiple Choice

Which of the following angles can you add together to equal angle d?

• Angle a and Angle b

• Angle b and Angle c

• Angle a and Angle c

• Angle a and Angle b and Angle c

Multiple Choice

What is the measure of the missing angle?

• 82
• 43
• 55
• 180

Multiple Choice

Find the measure of the missing angle.

• 47

• 57

• 53

• 133

Multiple Choice

What is the measure of a third angle in a triangle when the first two angles measure

$$34\degree\ and\ 101\degree$$  ?

• $$32\degree$$  

• $$45\degree$$  

• $$54\degree$$  

• $$39\degree$$  

Multiple Choice

Find the measure of each angle indicated.

• $$50\degree$$

• $$120\degree$$

• $$30\degree$$

• $$20\degree$$

Fill in the Blanks

How many degrees are in ALL triangles?

Multiple Choice

What is the measure of the missing angle?

• 82
• 43
• 55
• 180

Multiple Choice

Find the measure of the missing angle.

• 47

• 57

• 53

• 133

Multiple Choice

Which of the following angles are remote interior angles to

$$\angle d$$  ?

• $$\angle a\ and\ \angle b$$  

• $$\angle a\ and\ \angle c$$  

• $$\angle b\ and\ \angle d$$  

• $$\angle a,\ \angle b,\ and\ \angle c$$