1. Draw an acute angle. Explain how you know the angle is acute.
2. Extend one of the rays of your angle in the opposite direction. Explain why your new angle is obtuse.

1. The circle is divided into 12 equal parts. What is the measure of Angle H?

   Explain or show how you know.

   

2. Can you put together \(20^\circ\) angles to make a circle? How many of them will it take?

1. A circle has been cut into eighths. How many degrees is the angle labeled M? Explain or show your reasoning.

   

2. Another circle has been cut into fifths. How many degrees is the angle labeled P? Explain or show your reasoning.

   

1. What angles are made by the hour and minute hands on a clock at these times? Explain or show your reasoning.

   • 3:00

   • 5:00

   • 6:00

2. How many degrees does the hour hand move between 3:00 and 7:00? Explain or show how you know.

The long hand points at 12 when Jada looks at the clock. Less than an hour later, when she looks up again, the long hand of the clock has turned 210 degrees. How many minutes have passed? Explain or show your reasoning.

Find the measure of each labeled angle in the drawing. Assume that:

• The angles of the triangles meeting at the point in the middle of the figure have the same measure.
• The other angles of the triangles all have the same measure.

Tyler wonders if the hour hand and the minute hand ever point in the same direction at the same time. Can you find some times when the hour hand and the minute hand point in the same direction? Explain or show your reasoning.

1. Draw a rhombus with a \(50^\circ\) angle. Explain how you know your shape is a rhombus.
2. Draw another rhombus with a \(50^\circ\) angle. How are your rhombuses the same? How are they different?

How many degrees does the minute hand turn in each of the following times? Show how you know.

1. 30 seconds

2. 10 seconds

3. 80 minutes

4. 2.5 hours

Here are diagrams of some pattern blocks. Each shape has some angles.

1. How many angles do you see inside each shape?

   

   • a triangle
   • a trapezoid
   • a rhombus
   • a hexagon

2. Here are diagrams that show a group of each type of pattern block arranged around a shared point. 

   

   

   

   

   

   

   Use what you know about angle measurement to find the sizes of Angles A–F. Show your reasoning.