IM 7.7.1 Lesson: Relationships of Angles
Use the applet to answer the questions.
Which angle is bigger, or ?
Identify an obtuse angle in the diagram.
Look at the different pattern blocks inside the applet below. Each block contains either 1 or 2 angles with different degree measures.
Which blocks have only 1 unique angle?
Which blocks have 2 unique angles?
If you place three copies of the hexagon together so that one vertex from each hexagon touches the same point, as shown, they fit together without any gaps or overlaps. Use this to figure out the degree measure of the angle inside the hexagon pattern block.
Figure out the degree measure of all of the other angles inside the pattern blocks. Be prepared to explain your reasoning.
We saw that it is possible to fit three copies of a regular hexagon snugly around a point.
Each interior angle of a regular pentagon measures . Is it possible to fit copies of a regular pentagon snugly around a point? If yes, how many copies does it take? If not, why not?
If yes, how many copies does it take? If not, why not?
Use pattern blocks in the applet below to determine the measure of each of these angles.
Use the applet to help you answer the above question. (Hint: turn on the grid to help align the pieces.)
If an angle has a measure of then the two legs form a straight line. An angle that forms a straight line is called a straight angle. Find as many different combinations of pattern blocks as you can that make a straight angle. Use the applet below.
Use the applet to help you answer the above question. (Hint: turn on the grid to help align the pieces.)
Tyler and Priya were both measuring angle TUS.
Priya thinks the angle measures 40 degrees. Tyler thinks the angle measures 140 degrees. Do you agree with either of them? Use the applet above. Explain your reasoning.