All GMAT Math Resources
Example Questions
Example Question #661 : Problem Solving Questions
What is the measure of an angle that is supplementary to a angle?
Supplementary angles have degree measures that total . Since we have an angle, the supplementary angle would measure
Example Question #421 : Geometry
Which of the following angles is complementary to an angle?
Not enough information provided.
Complementary angles have degree measures that total . Since we have an angle, the supplementary angle would measure
Example Question #422 : Geometry
Which of the following angles is congruent to a angle?
Not enough information to solve.
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?
Two angles are supplementary if the total of their degree measures is . Therefore, an angle supplementary to a angle measures .
Example Question #663 : Gmat Quantitative Reasoning
What is the measure of an angle that is complementary to a angle?
Two angles are complementary if the total of their degree measures is . Therefore, an angle complementary to a angle measures .
Example Question #423 : Geometry
What is the measurement of an angle that is congruent to an angle?
Two angles are congruent if they have the same degree measure. Therefore, an angle congruent to an angle also measures .
Example Question #424 : 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?
Cannot be determined
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 #1 : Understanding Intersecting Lines
Which is another name for in the above diagram?
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 #1 : Understanding Intersecting Lines
Which of the following is not a valid name for the triangle in the above diagram?
All of the names in the other four choices are valid names for the triangle.
All of the names in the other four choices are valid names for the triangle.
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 #2 : Understanding Intersecting Lines
Refer to the above diagram.
Which of the following is not a valid alternative name for ?
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.