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

Study concepts, example questions & explanations for SSAT Upper Level Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #53 : Properties Of 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.

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 #54 : Properties Of 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:

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 #55 : Properties Of Triangles

Find the degree measure of  in the right triangle below.

 

Picture1

Possible Answers:

Correct answer:

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 #56 : Properties Of Triangles

Find the angle value of .

Picture1

Possible Answers:

Correct answer:

Explanation:

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

Example Question #57 : Properties Of Triangles

Find the angle value of .

Picture1

Possible Answers:

Correct answer:

Explanation:

All the angles in a triangle adds up to .

Example Question #58 : Properties Of Triangles

Find the angle value of .

Picture1

Possible Answers:

Correct answer:

Explanation:

All the angles in a triangle add up to  degrees.

Example Question #59 : Properties Of Triangles

Find the angle measure of .

Picture1

Possible Answers:

Correct answer:

Explanation:

All the angles in a triangle add up to .

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: