Triangle Ang. Sum & Exterior Ang. Theorems

​Triangle Angle Sum & Exterior Angle Theorems

Multiple Choice

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

• 45°

• 90°

• 180°

• 360°

Multiple Choice

Will the following three angles for a triangle?

30°, 60°, 90°

• yes

• no

Multiple Choice

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

• 45°, 65°, 70°

• 150°, 110°, 100°

• 50°, 50°, 50°

• 90°, 90°, 90°

Multiple Choice

Angles that are exactly 90 degrees are called _____ ______.

• tight angles
• acute angles
• obtuse angles
• right angles

Multiple Choice

What is the complement angle to 30°?

• 60°
• 30°
• 150°
• 230˚

Multiple Choice

To classify triangles by the measure of their sides you must use the names:

• Equilateral, Equiangular and Obtuse

• Equilateral, Isosceles and Scalene

• Right triangle, Scalene and Equiangular

• Isosceles, Scalene and Equilateral

Multiple Choice

To classify triangles by the measure of their angles we use the names:

• Equiangular, Isosceles and Acute

• Acute, Obtuse and Isosceles, Equiangular

• Right triangle, Isosceles triangle and Scalene triangle

• Right triangle, Obtuse triangle and Acute triangle, Equiangular

Multiple Choice

When a triangle has an obtuse angle inside it is called:

• Right triangle

• Obtuse triangle

• Acute triangle

• Isosceles triangle

Multiple Choice

If a triangle has three acute angles inside it is called:

• Acute triangle

• Obtuse triangle

• Right triangle

• Isosceles

Fill in the Blank

How many degrees are in a triangle?

Multiple Choice

How much is the value of X?

• 85

• 95

• 75

• 100

Multiple Choice

How many degrees is X?

• 65

• 70

• 90

• 55

Multiple Choice

How many degrees is X?

• 37

• 47

• 7

• 90

Multiple Choice

Find the measure of $$\angle A$$  .

• 25 degrees

• 35 degrees

• 40 degrees

• 45 degrees

Multiple Choice

Find the measure of $$\angle D$$  .

• 45 degrees

• 60 degrees

• 90 degrees

• 30 degrees

Fill in the Blank

Solve for x.

Fill in the Blank

Solve for x.

Fill in the Blank

Solve for x.

Solve for x.

• 2x + 1 + 90 + 5x + 5 = 180

• 7x + 96 = 180

• 7x = 84

• x = 12

Solve for x.

• 7x - 11 + 5x - 2 + 2x - 3 = 180

• 14x - 16 = 180

• 14x = 196

• x = 14

Multiple Choice

Solve for x.

• -12

• -8

• -10

• -5

Multiple Choice

Solve for x.

• 16

• 11

• 50

• 6

Fill in the Blank

Solve for x.

Fill in the Blank

Solve for x.

Multiple Choice

Solve for x

• 28
• 12
• 10
• 2

Exterior Angle Theorem Problems

Multiple Choice

Find the measure of each angle indicated.

• $$50\degree$$

• $$120\degree$$

• $$30\degree$$

• $$20\degree$$

Multiple Choice

What is the measure of x?

• 101°

• 111°

• 121°

• 131°

Multiple Choice

Find the indicated angle measure.

(What is ?)

• 85

• 78

• 95

• 110

Multiple Choice

Find the indicated angle measure. 

(What is ?)

• $$5\degree$$

• $$165\degree$$

• $$65\degree$$

• $$60\degree$$

Multiple Choice

Set up an equation to find x.

• 42 + 8x = 2 + 12x

• 2 + 12x + 42 = 8x

• 42 + 8x + 2 + 12x = 180

• 42 + 8x = 180

Multiple Choice

Solve for x

• 48

• 85

• 24

• 9

Multiple Choice

Solve for x

• 3

• 4

• 2

• 1

Substitute X value

Now that you know x plug it in to every angle. 

Fill in the Blank

$$find\ m\angle A$$  

Multiple Choice

What is the $$m\angle b$$  ?

• 36^o
• 56^o
• 63^o
• 117^o

Multiple Choice

Find $$\angle S$$  

• A

• B

• C

• D