Classify the Angle
Types of Triangles
Find Angle Measures
Exterior Angle Problems
Will it Make a Triangle?
100

Angles that are less than 90 degrees

Acute angles

100

What kind of triangle will these side lengths make?
(Acute, Obtuse, or Right)

3, 4, 5

32 + 42  ?  52
9 + 16  ?  25
25 = 25

So, RIGHT

100

The little box in the corner of a triangle or any figure represents what?


right angle

100

The Exterior Angle Theorem states that the exterior angle is equal to what?


The sum of the two opposite interior angles.

100

8, 4, 3

NO

4 + 3 is not greater than 8

200

Angles that are equal to 180 degrees

straight angles

OR

a straight line

200

What kind of triangle will these side lengths make?
(Acute, Obtuse, or Right)

2, 8, 9

22 + 82  ?  92
4 + 64  ?  81
68 < 81

So, OBTUSE

200

What is the measure of the interior angles of an equilateral triangle?


60 degrees

200

Find the exterior angle when the two opposite interior angles are 64 and 45.


109 degrees

200

9, 2, 8

YES

2 + 8 is greater than 9

300

Angles that are equal to 90 degrees

right angles

300

What kind of triangle will these side lengths make?
(Acute, Obtuse, or Right)

5, 10, 11

52 + 102  ?  112
25 + 100  ?  121
25 > 121

So, ACUTE


300

Two interior angle measures of a triangle are 39 degrees and 55 degrees. What is the measure of the third interior angle?


86 degrees

300

Solve for x:

 

x = 49

300

1, 1, 2

NO 

1 + 1 is not greater than 2

400

Angles that are greater than 90 degrees but less than 180 degrees

obtuse angles

400

What kind of triangle will these side lengths make?
(Acute, Obtuse, or Right)

9, 15, 12

92 + 122  ?  152
81 + 144  ?  225
225 = 225

So, RIGHT

400

Can a triangle have these interior angle measures: 36.9 degrees, 110.4 degrees, and 33.7 degrees

Why or why not?

No, they do not have a sum of 180 degrees.


400

Solve for x:

x = 12

400

10, 11, 2

YES

10 + 2 is greater than 11

500

The number of degrees in a triangle

180 degrees

500

What kind of triangle will these side lengths make?
(Acute, Obtuse, or Right)

13, 9, 7


72 + 92  ?  132
49 + 81  ?  169
130 < 169

So, OBTUSE

500

Find the measure of angle Y




62 degrees


500

What is the measurement of angle B?

angle B = 39

500

The sum of the two shorter side lengths are greater than the longest side length

YES, it will make a triangle

600

What is the name for pairs of opposite angles formed by two intersecting lines?


vertical angles

600

What kind of triangle will these side lengths make?
(Acute, Obtuse, or Right)

8, 10, 7


72 + 82  ?  102
49 + 56  ?  100
105 > 100

So, ACUTE

600

Solve for x:


x = 12

600

Solve for x:


x = 5

600

The sum of two shorter side lengths are equal to the longest side length

NO, this will not make a triangle

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