Pre-Skills 8.G.A.2

​Pre-skills:
Angle Relationships

By Jessica Freeman

Angles

Angles are measured in degrees

Naming Angles

Multiple Choice

Which of the following angles is the Acute angle? (less than 90 degrees)

Multiple Choice

Which of the following angles is the Straight angle? 180 degrees?

Multiple Choice

Which of the following angles is the Obtuse angle? (greater than 90 degrees)

Multiple Choice

Which of the following angles is the Right angle? (equal to 90 degrees)

Poll

I can identify acute, obtuse, and right angles.

• Absolutely

• Maybe with my notes

• I'm still confused

• I don't understand the question.

Vertical Angles

• Vertical angles are opposite angels formed by the intersection of two lines.

• Congruent angles have the same measure or value.

• Vertical angles are congruent.

Multiple Select

Look at the picture of the angles. Select all statements that are true. (Click on the picture to enlarge).

Fill in the Blank

What is the value of the missing angle? (Only put a number)

Fill in the Blank

The value of angle b is ______ degrees. (only input the number)

Fill in the Blank

The value of angle b is ______ degrees. (only input the number)

Poll

I can find the value of a vertical angle.

• I got this. It's easy

• I can do this with my notes.

• I still don't understand.

• Was I supposed to take notes on this?

Adjacent Angles must meet all three criteria.

• Share a common vertex

• Share a common side

• They do NOT overlap

• side by side

Multiple Select

Select all of the pictures that represent adjacent angles.

Multiple Select

Select all of the pictures that represent adjacent angles.

Poll

I can see how angles are adjacent.

• This make sense, I understand.

• I'm still a little confused

• What does adjacent mean?

Angles

• Acute angles

• Right angles

• Obtuse angles

• Straight Angles

• Vertical angles

• Adjacent angles

Poll

I can find the value of a vertical angle.

• I got this. It's easy

• I can do this with my notes.

• I still don't understand.

• Was I supposed to take notes on this?

7.2: Complementary & Supplementary Angles

Wednesday 3/17/21

Remember, adjacent angles are "next to" each other, in the sense that they share a common vertex and side, but don't overlap.

So, non-adjacent means that the angles are separate from each other and do not share a common vertex and side.

In the first examples, you will check if pairs of angles or complementary, supplementary, or neither depending on the sum of the angles.

Review the vocabulary, if needed. When you are ready, move on to the next slide.

Multiple Choice

Tell whether the angles are complementary, supplementary, or neither.

• complementary

• supplementary

• neither

Multiple Choice

Tell whether the angles are complementary, supplementary, or neither.

• complementary

• supplementary

• neither

Multiple Choice

Tell whether the angles are complementary, supplementary, or neither.

• complementary

• supplementary

• neither

In the next examples, you will write and solve equations to find the value of x. You did this yesterday too... so your equations will either add up to equal 90 or add up to equal 180.

Fill in the Blank

Write and solve an equation to find the value of x.

Type you answer as x=____ (no spaces)

Sample: x=1

=

.

Fill in the Blank

Write and solve an equation to find the value of x.

Type you answer as x=____ (no spaces)

Sample: x=1

=

Multiple Choice

Find the value of x.

• 15

• 16

• 18

• 19

Multiple Choice

Tell whether the angles are complementary or supplementary. Then find the value of x.

• Complementary; x=25
• Complementary; x=5
• Supplementary; x=25
• Supplementary; x=5

Multiple Choice

• 2x-6=7x+4
• 2x-6+7x+4=90
• 2x-6+7x+4=180
• 2x-6+7x+4=360

Multiple Choice

The angle relationship shown is -

• complementary angles
• supplementary angles
• vertical angles
• angle bisector

Multiple Choice

These angles are...

• Complementary
• Supplementary
• Neither

Multiple Choice

What is the equation that could be used to solve for the missing angle measure?

• x + 64 = 90

• x = 64

• x + 64 = 180

• 90 - x = 64

Fill in the Blank

Find x.

Fill in the Blank

What is the measure of angle 2 ?

What is the measure of ∠2 ?

Multiple Choice

What is the measurement of the missing angle?

• 30
• 150
• 100

Fill in the Blank

What is the $$m\angle3?$$  

Multiple Choice

What is the value of x?

• 37
• 72
• 108
• 18

Match

Match the following angle measurements with the type of angle.

• Acute

• Right

• Obtuse

• Straight

• Reflex

36°

90°

137⁰

180°

271°

• 36°

• 90°

• 137⁰

• 180°

• 271°

Multiple Choice

Solve for x

• 5
• 90
• 25
• 10

Multiple Choice

Find the value of x

• -5
• 28
• 19
• -3

Multiple Select

Which of the following are examples to parallel lines?

Multiple Select

Which of the following are examples of intersecting lines?

Multiple Select

Which of the following are examples of perpendicular lines?

Multiple Select

Name the sets of intersecting lines that are not perpendicular.

• Line RW and Line TV

• Line QS and Line TV

• Line PW and Line QS

• There are no intersecting lines.

Multiple Choice

• Line BG and Line AC

• Line BC and Line DF

• Line AC and Line FD

• There are no perpendicular lines.

Multiple Choice

How many sets of parallel sides does this shape have?

• No sets

• 1 set

• 2 sets

• 3 sets

Multiple Choice

Choose the most precise answer: These streets are

• Parallel
• Perpendicular
• Intersecting

Multiple Choice

Choose the most precise answer: These roads are

• Intersecting
• Perpendicular
• Parallel

Multiple Choice

Choose the most precise answer: These roads are

• Parallel
• Perpendicular
• Intersecting

Multiple Choice

• Parallel

• Perpendicular

• Intersecting

Multiple Choice

• Parallel

• Perpendicular

• Intersecting

Multiple Choice

• Parallel

• Perpendicular

• Intersecting

Fill in the Blank

Perpendicular lines form a _____ angle.