CPM Homework Help : CC2 Problem 8-98

You learned in an earlier lesson how to classify an angle by comparing it to a $90º$ right angle. Find the measure of each angle below and classify it according to its measure.

What is the measure of half of a right angle?
Step 1 (a):
Remember that a right angle is $90°$ .
Thus, to find the measure of half a right angle, we must divide $90°$ by $2$ .
Answer (a):
$45°$

If the angle at right is made with a right angle added to half of a right angle, what is its measure?
Hint (b):
In part (a), you found the measure of half a right angle.
Now you must add your answer from part (a) to $90°$ to find the measure of a right angle added to half a right angle.

Suppose a right angle is divided into three equal angles as shown at right. What is the measure of each angle?
Hint (c):
Similar to part (a), you must divide $90°$ by $3$ to find the measure of a third of a right angle.

A right angle divided into thirds.
2 solid rays meet at same starting point, left ray is vertical, right ray is horizontal. 2 dashed rays have same starting points, both slanted up and right, between the solid rays, where the gap between all 4 rays, is the same.