Step by step
The question
Question: find what kind of angle 135° is.
1 Compare with 90° and 180°
There are five kinds of angles.
Each name says how big the angle is, next to 90° and 180°.
135 is more than 90, but less than 180.
90 < 135 < 180
Careful!
Obtuse is bigger than a square corner, but smaller than a straight line.
Careful: obtuse: between 90° and 180°
2 Name it
So 135° is obtuse.
135° is obtuse
3 Check
Let's check with the picture.
The dashed line up makes a square corner: 90°.
The dashed line to the left makes a straight line: 180°.
Our angle opens wider than the square corner, but not as far as the straight line.
So it is obtuse.
Let's look back.
First: compare with 90° and 180°.
Then: name it.
Last: check.
Answer
135° is obtuse