### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #53 : Right Triangles

One angle of a right triangle has measure . Give the measures of the other two angles.

**Possible Answers:**

This triangle cannot exist.

**Correct answer:**

This triangle cannot exist.

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 #54 : Right Triangles

One angle of a right triangle has measure . Give the measures of the other two angles.

**Possible Answers:**

This triangle cannot exist.

**Correct answer:**

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 #55 : Right Triangles

Find the degree measure of in the right triangle below.

**Possible Answers:**

**Correct answer:**

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 #56 : Right Triangles

Find the angle value of .

**Possible Answers:**

**Correct answer:**

All the angles in a triangle must add up to 180 degrees.

### Example Question #57 : Right Triangles

Find the angle value of .

**Possible Answers:**

**Correct answer:**

All the angles in a triangle adds up to .

### Example Question #58 : Right Triangles

Find the angle value of .

**Possible Answers:**

**Correct answer:**

All the angles in a triangle add up to degrees.

### Example Question #59 : Right Triangles

Find the angle measure of .

**Possible Answers:**

**Correct answer:**

All the angles in a triangle add up to .