GMAT Math : Problem-Solving Questions

Study concepts, example questions & explanations for GMAT Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #661 : Problem Solving Questions

What is the measure of an angle that is supplementary to a  angle?

Possible Answers:

Correct answer:

Explanation:

Supplementary angles have degree measures that total . Since we have an  angle, the supplementary angle would measure  

Example Question #34 : Lines

Which of the following angles is complementary to an  angle?

Possible Answers:

Not enough information provided.

Correct answer:

Explanation:

Complementary angles have degree measures that total . Since we have an  angle, the supplementary angle would measure  

Example Question #35 : Lines

Which of the following angles is congruent to a  angle?

Possible Answers:

Not enough information to solve.

Correct answer:

Explanation:

Congruent angles have the same degree measure, so an angle congruent to a  angle would also measure 

Example Question #1 : Calculating An Angle Of A Line

What is the measurement of an angle that is supplementary to a  angle?

Possible Answers:

Correct answer:

Explanation:

Two angles are supplementary if the total of their degree measures is . Therefore, an angle supplementary to a  angle measures 

Example Question #424 : Geometry

What is the measure of an angle that is complementary to a  angle?

Possible Answers:

Correct answer:

Explanation:

Two angles are complementary if the total of their degree measures is . Therefore, an angle complementary to a  angle measures 

Example Question #41 : Lines

What is the measurement of an angle that is congruent to an  angle?

Possible Answers:

Correct answer:

Explanation:

Two angles are congruent if they have the same degree measure. Therefore, an angle congruent to an  angle also measures 

Example Question #421 : Geometry

A right triangle is given with a missing value of . It is stated that the triangle is an acute right triangle with angles  and . What is a possible value of in degrees?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

It is important to recall that all triangles add to 180 degrees and a right triangle contains one angle that is equal to 90 degrees. Therefore, in this particular problem we can write the following equation to solve for the missing variable.

Example Question #42 : Lines

Lines

Which is another name for  in the above diagram? 

Possible Answers:

Correct answer:

Explanation:

The middle letter of an angle must be its vertex, so the vertex of  is 

An angle can be named after its vertex alone as long as it is the only angle with that vertex. This is not the case here, so  cannot be correct. Also,  and  are incorrect since the middle letters are not .

The first and last letters of a three-letter angle name must be points on different sides of the angle.  is incorrect since  and  are on the same side of the angle. The correct choice is therefore , since  and  are on different sides of the angle.

Example Question #2 : Understanding Intersecting Lines

Lines

Which of the following is not a valid name for the triangle in the above diagram?

Possible Answers:

All of the names in the other four choices are valid names for the triangle.

Correct answer:

All of the names in the other four choices are valid names for the triangle.

Explanation:

A triangle can be named after its three vertices in any order. Since the vertices of the triangle are , any name that includes these three letters is valid. All of the choices fit this description.

Example Question #3 : Understanding Intersecting Lines

Lines

Refer to the above diagram.

Which of the following is not a valid alternative name for  ?

Possible Answers:

Correct answer:

Explanation:

An angle can be given a name with three letters if the middle letter is the name of the vertex and the other two letters denote points on different sides of the angle. All four of the three-letter choices fit this description.

An angle can be given a one-letter name if the letter is the name of the vertex and if it is the only angle shown in the diagram to have that vertex (thereby avoiding ambiguity). There are four angles in the diagram with vertex , so we cannot use  to indicate any of them, including  is the correct choice.

Tired of practice problems?

Try live online GMAT prep today.

1-on-1 Tutoring
Live Online Class
1-on-1 + Class
Learning Tools by Varsity Tutors