Activities

1. Find the missing angle measure in the diagram below.

2. Find the missing angle measure in the diagram below.

3. Write and solve an equation to find the missing angle measure in the diagram below.

4. The diagram below shows that a windshield wiper is currently at a 45° angle.  The wiper can open an additional 70°, what is the total angle amount that the windshield wiper can open? 

5. You are making a game spinner.  You are labeling the following parts of the spinner with colors and angles as shown.  The last color you need to add is yellow; fill in the missing angle measure that would complete the spinner.  Explain how you found the missing angle.

6. A Ferris wheel rotated 85° before it stopped.  How many more degrees does it need to rotate in order to make a full rotation?  Explain.

Answer Key/Rubric

1. 60°

2. 30°

3. Missing angle measure 105°.
   Acceptable equation may be similar to: 180 – (45 + 30) = x

4. 115°

5. The yellow section on the spinner is 115°.
   Student work might include, but is not limited to:

• Add the angles in the sections that are given
• A circle is made up of 360°
• Subtract the angles that are being used in the circle from the total amount in the circle
• 90 + 90 + 65 = 245°
• 360 – 245 = 115°

6. A Ferris wheel needs to rotate 275 more degrees.
   Acceptable explanations may include, but are not limited to:

• A complete rotation is 360°
• Find the missing angle amount:  360 – 85 = 275