Student: I know what an angle is! It is two
rays connected together.
Mentor: Good job! Did you read that from your book?
Student: Yes.
Mentor: Well, there are three categories of angles:
acute,
obtuse and
right.
Let's learn what a right angle is first. Right angles are present many places in real life.
Look at the corners of this room or the edges of your books. A right angle is an angle that
measures 90 degrees. A right angle looks like this:
Mentor: The second type of angle is acute. An acute angle is an angle whose measure is between 0 and
90 degrees. An acute angle looks like this:
Student: Let me guess! The third type is an angle whose measure is more than 90 degrees.
Mentor: Yes, an obtuse angle is an angle whose measure is between 90 and 180 degrees. An obtuse angle
looks like this:
Mentor: We also usually name angles. Look at how these lines intersect and form angles.
Student: Those lines formed 8 angles.
Mentor: Good job. Now, who can show me an acute angle?
Student: I can! It is the one on the top right.
Mentor: Right again. Who can show me an obtuse angle?
Student 2: I think it is the one on the top left.
Mentor: Correct. We need an easier way of referring to the angles we are talking about. So from now
on, we will label our angles.
Mentor: Who knows the names of the angles in this picture that are acute?
Student: Do you just call them by the letter that we put there?
Mentor: Yes, that's exactly what you do. Now what are the names of the angles that are acute?
Student: Angles b, c, f, and g.
Mentor: Good job, now you know the different types of angles and how we name angles. I think you're
ready to put those ideas into practice!