Solve Acute/Obtuse Angles with 1 and 2 step equations

What types of angle is this?

• Obtuse

• Acute

• Right

• Straight

If an angle is less than 90 degrees it is called what?

• Straight

• Acute

• Right

• Obtuse

We don't know the what x equals but we do know that this angle is 36 degrees. Based on the information from the picture, what equation should we use?

• 2x = 36

• 2x + 36 = 90

• 36 = x

• 2 = 36

From the picture we can determine that:

2x = 36

Solve for x

• x = 18

• x = 36

• x = 72

• x = 90

We don't know what x equals but we do know this angle is 32 degrees. Use the information from the picture to make an equation.

• 2x + 2 = 90

• 2x + 2 = 32

• 4x = 32

• x = 32

From the picture we determine that:

2x + 2 = 32

Solve for x

• x = 17

• x = 15

• x = 60

• x = 8

This angle is 140 degrees. It can also be expressed as 5y + 40 degrees. What would be a good equation to set up if I wanted to solve for y?

• 5y + 40 = 90

• 5y + 40 = 180

• 5y + 40 = 140

• 5y = 40

Based on the picture I can set up the equation:

5y + 40 = 140

Solve for y.

• y = 20

• y = 180

• y = 36

• y = 35

This obtuse angle is 160 degrees. I don't know the value of z. Based on the picture, what equation should I set up to solve for z?

• 6 + z = 160

• 6z = 140

• 6z - 140 = 90

• 6z - 140 = 160

Based on the picture I can set up the equation:

6z - 140 = 160

Solve for z.

• z = 14

• z = 20

• z = 50

• 
  

  z= $\frac{20}{6}$