GMAT Math : Geometry

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Example Questions

Example Question #5 : Calculating An Angle Of A Line

What is the measure of an angle congruent to a $58^{\circ}$ angle?

Possible Answers:

$58^{\circ}$

$90^{\circ}$

$32^{\circ}$

$122^{\circ}$

$302^{\circ}$

Correct answer:

$58^{\circ}$

Explanation:

Congruent angles have degree measures that are equal, so an angle congruent to $58^{\circ}$ is $58^{\circ}$ .

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Example Question #422 : Geometry

What is the measure of an angle that is complementary to a $42^{\circ }$ angle?

Possible Answers:

$90^{\circ }$

$24^{\circ }$

$48^{\circ }$

$318^{\circ }$

$138^{\circ }$

Correct answer:

$48^{\circ }$

Explanation:

Complementary angles have degree measures that total $90^{\circ}$ , so an angle complementary to $42^{\circ}$ would measure $90^{\circ}-42^{\circ}=48^{\circ}$ .

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Example Question #661 : Problem Solving Questions

What is the measure of an angle that is supplementary to a $80^{\circ}$ angle?

Possible Answers:

$100^{\circ}$

$280^{\circ}$

$80^{\circ}$

$20^{\circ}$

$10^{\circ}$

Correct answer:

$100^{\circ}$

Explanation:

Supplementary angles have degree measures that total $180^{\circ }$ . Since we have an $80^{\circ}$ angle, the supplementary angle would measure $180^{\circ}-80^{\circ }=100^{\circ}$

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Example Question #421 : Geometry

Which of the following angles is complementary to an $18^{\circ}$ angle?

Possible Answers:

$72^{\circ}$

Not enough information provided.

$162^{\circ}$

$18^{\circ}$

$342^{\circ}$

Correct answer:

$72^{\circ}$

Explanation:

Complementary angles have degree measures that total $90^{\circ }$ . Since we have an $18^{\circ}$ angle, the supplementary angle would measure $90^{\circ}-18^{\circ }=72^{\circ}$

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Example Question #422 : Geometry

Which of the following angles is congruent to a $119^{\circ}$ angle?

Possible Answers:

$71^{\circ}$

$-29^{\circ}$

$249^{\circ}$

Not enough information to solve.

$119^{\circ}$

Correct answer:

$119^{\circ}$

Explanation:

Congruent angles have the same degree measure, so an angle congruent to a $119^{\circ}$ angle would also measure $119^{\circ}$ .

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Example Question #1 : Calculating An Angle Of A Line

What is the measurement of an angle that is supplementary to a $16^{\circ}$ angle?

Possible Answers:

$90^{\circ}$

$180^{\circ}$

$74^{\circ}$

$16^{\circ}$

$164^{\circ}$

Correct answer:

$164^{\circ}$

Explanation:

Two angles are supplementary if the total of their degree measures is $180^{\circ }$ . Therefore, an angle supplementary to a $16^{\circ}$ angle measures $180^{\circ }-16^{\circ}=164^{\circ}$ .

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Example Question #663 : Gmat Quantitative Reasoning

What is the measure of an angle that is complementary to a $70^{\circ}$ angle?

Possible Answers:

$20^{\circ}$

$90^{\circ}$

$70^{\circ}$

$110^{\circ}$

$290^{\circ}$

Correct answer:

$20^{\circ}$

Explanation:

Two angles are complementary if the total of their degree measures is $90^{\circ }$ . Therefore, an angle complementary to a $70^{\circ}$ angle measures $90^{\circ }-70^{\circ}=20^{\circ}$ .

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Example Question #423 : Geometry

What is the measurement of an angle that is congruent to an $89^{\circ }$ angle?

Possible Answers:

$1^{\circ }$

$91^{\circ }$

$271^{\circ }$

$90^{\circ }$

$89^{\circ }$

Correct answer:

$89^{\circ }$

Explanation:

Two angles are congruent if they have the same degree measure. Therefore, an angle congruent to an $89^{\circ }$ angle also measures $89^{\circ }$ .

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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 $50^\circ$ 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.

$\\90^\circ+50^\circ+2t=180^\circ \\140^\circ-2t=180^\circ \\2t=180^\circ-140^\circ \\2t=40^\circ \\t=20$

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Example Question #1 : Understanding Intersecting Lines

Lines

Which is another name for $\angleFBC$ $\angle FBC$ in the above diagram?

Possible Answers:

$\angle B$

$\angle FCB$

$\angleDBF$ $\angle DBF$

$\angle CBD$

$\angle BFG$

Correct answer:

$\angleDBF$ $\angle DBF$

Explanation:

The middle letter of an angle must be its vertex, so the vertex of $\angle FBC$ 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 $\angle B$ cannot be correct. Also, $\angle FCB$ and $\angle BFG$ 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. $\angle CBD$ is incorrect since and are on the same side of the angle. The correct choice is therefore $\angle DBF$ , since and are on different sides of the angle.

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GMAT Math : Geometry

Study concepts, example questions & explanations for GMAT Math

All GMAT Math Resources

Example Questions

Example Question #5 : Calculating An Angle Of A Line

Example Question #422 : Geometry

Example Question #661 : Problem Solving Questions

Example Question #421 : Geometry

Example Question #422 : Geometry

Example Question #1 : Calculating An Angle Of A Line

Example Question #663 : Gmat Quantitative Reasoning

Example Question #423 : Geometry

Example Question #424 : Geometry

Example Question #1 : Understanding Intersecting Lines

All GMAT Math Resources

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