# SSAT Upper Level Math : How to find an angle in a right triangle

## Example Questions

### Example Question #1 : How To Find An Angle In A Right Triangle

One angle of a right triangle has measure . Give the measures of the other two angles. This triangle cannot exist.   This triangle cannot exist.

Explanation:

A right triangle must have one right angle and two acute angles; this means that no angle of a right triangle can be obtuse. But since , it is obtuse. This makes it impossible for a right triangle to have a angle.

### Example Question #51 : Right Triangles

One angle of a right triangle has measure . Give the measures of the other two angles.    This triangle cannot exist. Explanation:

One of the angles of a right triangle is by definition a right, or , angle, so this is the measure of one of the missing angles. Since the measures of the angles of a triangle total , if we let the measure of the third angle be , then:    The other two angles measure .

### Example Question #3 : How To Find An Angle In A Right Triangle

Find the degree measure of in the right triangle below.      Explanation:

The total number of degrees in a triangle is .

While is provided as the measure of one of the angles in the diagram, you are also told that the triangle is a right triangle, meaning that it must contain a angle as well. To find the value of , subtract the other two degree measures from . ### Example Question #4 : How To Find An Angle In A Right Triangle

Find the angle value of .      Explanation:

All the angles in a triangle must add up to 180 degrees.    ### Example Question #5 : How To Find An Angle In A Right Triangle

Find the angle value of .      Explanation:

All the angles in a triangle adds up to .    ### Example Question #6 : How To Find An Angle In A Right Triangle

Find the angle value of .      Explanation:

All the angles in a triangle add up to degrees.    ### Example Question #7 : How To Find An Angle In A Right Triangle

Find the angle measure of .      Explanation:

All the angles in a triangle add up to .     