Solving Vertical Angles with 1 and 2 step equations

These two lines intersect and create 4 angles. The angles that are opposite of each other are called what?

• Vertical Angles

• Criss-Cross angles

• X-Men Angles

• Parallel Angles

Tags

CCSS.7.G.B.5

Those things in the red circles are called hatch marks. Both of these angles have 1 hatch mark. That means they are EQUAL TO EACH OTHER. When an angle has the same number of hatch marks as another angle, they are equal to each other.

Based on this, what can we conclude about Vertical Angles?

• They are EQUAL TO EACH OTHER.

• They are equal to 180 degrees

• They are equal to 90 degrees

• They are equal to 360 degrees

Tags

CCSS.7.G.B.5

These angles are vertical angles. One is 40 degrees, the other is 10x degrees. What equation can we use to find the value of x?

• 10x + 40 = 180

• 10x = 40

• 10x + 40 = 90

• 10x + 40 = 100

Tags

CCSS.7.G.B.5

These are vertical angles so we know they are EQUAL TO EACH OTHER. So we can use the formula:

10x = 40

Solve for x.

• x = 10

• x = 40

• x = 4

• x = 30

Tags

CCSS.7.G.B.5

These are vertical angles. One is 100 degrees the other is 5x degrees. What equation would we use to solve for x?

• 5x + 100 = 180

• 5x + 100 = 90

• 5x = 100

• 5x - 100 = 80

Tags

CCSS.7.G.B.5

These are vertical angles. One is 100 degrees the other is 5x degrees.

We can use the equation 5x = 100

Solve for x

• x = 80

• x = 20

• x = 120

• x = 40

Tags

CCSS.7.G.B.5

These two angles are vertical angles. One is 2y degrees, the other is 120 degrees. What equation could you use to solve for y?

• 2y = 120

• 2y + 120 = 180

• 2y + 120 = 90

• 2y = 90

Tags

CCSS.7.G.B.5

These two angles are vertical angles. One is 2y degrees, the other is 120 degrees. We can use the equation:

2y = 120

Solve for y

• y = 60

• y = 118

• y = 40

• y = 122

Tags

CCSS.7.G.B.5

These are vertical angles. One is 5y - 20 degrees and the other is 140 degrees. What equation could we use to solve for y?

• 5y = 140

• 5y + 140 = 20

• 5y - 20 = 140

• 5y - 20 = 180

Tags

CCSS.7.G.B.5

These are vertical angles. One is 5y - 20 degrees and the other is 140 degrees. We can use the equation:

5y - 20 = 140

Solve for y

• y = 32

• y = 24

• y = 160

• y = 120

Tags

CCSS.7.G.B.5