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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #46 : Supplementary Angles

Find the measure of angle B if it is the supplement to angle A:

$m\angle A=137^{o}$

Possible Answers:

$m\angle B=51^{o}$

$m\angle B=36^{o}$

$m\angle B=43^{o}$

$m\angle B=24^{o}$

Correct answer:

$m\angle B=43^{o}$

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

$m\angle B=180^{o}-137^{o}=43^{o}$

This gives us a final answer of 43 degrees for angle B.

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Example Question #1501 : Ged Math

Find the measure of angle B if it is the supplement to angle A:

$m\angle A=106^{o}$

Possible Answers:

$m\angle B=12^{o}$

$m\angle B=66^{o}$

$m\angle B=74^{o}$

$m\angle B=24^{o}$

Correct answer:

$m\angle B=74^{o}$

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

$m\angle B=180^{o}-106^{o}=74^{o}$

This gives us a final answer of 74 degrees for angle B.

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Example Question #531 : Geometry And Graphs

Find the measure of angle B if it is the supplement to angle A:

$m\angle A=34^{o}$

Possible Answers:

$m\angle B=118^{o}$

$m\angle B=12^{o}$

$m\angle B=146^{o}$

$m\angle B=122^{o}$

Correct answer:

$m\angle B=146^{o}$

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

$m\angle B=180^{o}-34^{o}=146^{o}$

This gives us a final answer of 146 degrees for angle B.

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Example Question #532 : Geometry And Graphs

Find the measure of angle B if it is the supplement to angle A:

$m\angle A=142^{o}$

Possible Answers:

$m\angle B=38^{o}$

$m\angle B=88^{o}$

$m\angle B=18^{o}$

$m\angle B=118^{o}$

Correct answer:

$m\angle B=38^{o}$

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

$m\angle B=180^{o}-142^{o}=38^{o}$

This gives us a final answer of 38 degrees for angle B.

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Example Question #533 : Geometry And Graphs

Find the measure of angle B if it is the supplement to angle A:

$m\angle A=23^{o}$

Possible Answers:

$m\angle B=89^{o}$

$m\angle B=113^{o}$

$m\angle B=18^{o}$

$m\angle B=157^{o}$

Correct answer:

$m\angle B=157^{o}$

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

$m\angle B=180^{o}-23^{o}=157^{o}$

This gives us a final answer of 157 degrees for angle B.

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Example Question #541 : Geometry And Graphs

Find the measure of angle B if it is the supplement to angle A:

$m\angle A=162^{o}$

Possible Answers:

$m\angle B=18^{o}$

$m\angle B=83^{o}$

$m\angle B=26^{o}$

$m\angle B=28^{o}$

Correct answer:

$m\angle B=18^{o}$

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

$m\angle B=180^{o}-162^{o}=18^{o}$

This gives us a final answer of 18 degrees for angle B.

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Example Question #542 : Geometry And Graphs

Find the measure of angle B if it is the supplement to angle A:

$m\angle A=158^{o}$

Possible Answers:

$m\angle B=20^{o}$

$m\angle B=24^{o}$

$m\angle B=26^{o}$

$m\angle B=22^{o}$

Correct answer:

$m\angle B=22^{o}$

Explanation:

If two angles are supplementary, that means the sum of their degrees of measure will add up to 180. In order to find the measure of angle B, subtract angle A from 180 like shown:

$m\angle B=180^{o}-158^{o}=22^{o}$

This gives us a final answer of 22 degrees for angle B.

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Example Question #1 : Opposite And Corresponding Angles

Thingy

Refer to the above diagram.

Which of the following is a valid alternative name for $\overrightarrow{BD}$ ?

Possible Answers:

$\overrightarrow{CB}$

$\overrightarrow{BCD}$

$\overrightarrow{BC}$

$\overrightarrow{DB}$

Correct answer:

$\overrightarrow{BC}$

Explanation:

The name of a ray includes two letters, so $\overrightarrow{BCD}$ can be eliminated.

The first letter must be the endpoint. Since $\overrightarrow{BD}$ is a name of the ray, the endpoint is , and any alternative name for the ray must begin with . This leaves only $\overrightarrow{BC}$ .

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Example Question #2 : Opposite And Corresponding Angles

Thingy

Refer to the above diagram.

$\overleftrightarrow{AE} ||\overleftrightarrow{BD}$ ; $m \angle CED = 64^{\circ }$ ; $m \angle EFC = 107 ^{\circ }$ .

What is $m \angle FCE$ ?

Possible Answers:

$32^{\circ }$

$64^{\circ }$

$47^{\circ }$

$53^{\circ }$

Correct answer:

$47^{\circ }$

Explanation:

$\angle CED$ and $\angle ECD$ are two acute angles of a right triangle and are therefore complementary - that is,

$m \angle ECD + m \angle CED = 90^{\circ }$

$m \angle CED = 64^{\circ }$ , so

$m \angle ECD + 64^{\circ } = 90^{\circ }$

$m \angle ECD = 26^{\circ }$

$\angle ECD$ and $\angle FEC$ , being alternate interior angles formed by transversal $\overrightarrow{CE}$ across parallel lines, are congruent, so $m \angle FEC= 26^{\circ }$ .

We now look at $\Delta FEC$ , whose interior angles must have degree measures totaling $180^{\circ }$ , so

$m\angle FCE + m \angle FEC + m\angle EFC = 180^{\circ }$

$m\angle FCE + 26 ^{\circ }+107^{\circ } = 180^{\circ }$

$m\angle FCE + 133^{\circ } = 180^{\circ }$

$m\angle FCE= 47^{\circ }$

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Example Question #3 : Opposite And Corresponding Angles

Thingy

Refer to the above diagram.

Which of the following facts does not, by itself, prove that $\overleftrightarrow{AE} \parallel \overleftrightarrow{BD}$ ?

Possible Answers:

$\angle FED$ is a right angle

$\angle BCE$ and $\angle FEC$ are supplementary angles

$\angle AFC \cong \angle DCF$

$\overrightarrow{CE}$ bisects $\angle FCD$

Correct answer:

$\overrightarrow{CE}$ bisects $\angle FCD$

Explanation:

From the Parallel Postulate and its converse, as well as its various resulting theorems, two lines in a plane crossed by a transversal are parallel if any of the following happen:

Both lines are perpendicular to the same third line - this happens if $\angle FED$ is a right angle, since, from this fact and the fact that $\angle EDC$ is also right, both lines are perpendicular to $\overline{ED}$ .

Same-side interior angles are supplementary - this happens if $\angle BCE$ and $\angle FEC$ are supplementary, since they are same-side interior angles with respect to transversal $\overrightarrow{CE}$ .

Alternate interior angles are congruent - this happens if $\angle AFC \cong \angle DCF$ , since they are alternate interior angles with respect to transversal $\overleftrightarrow{FC}$ .

However, the fact that $\overrightarrow{CE}$ bisects $\angle FCD$ has no bearing on whether $\overleftrightarrow{AE} \parallel \overleftrightarrow{BD}$ is true or not, since it does not relate any two angles formed by a transversal.

" $\overrightarrow{CE}$ bisects $\angle FCD$ " is the correct choice.

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All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #46 : Supplementary Angles

Example Question #1501 : Ged Math

Example Question #531 : Geometry And Graphs

Example Question #532 : Geometry And Graphs

Example Question #533 : Geometry And Graphs

Example Question #541 : Geometry And Graphs

Example Question #542 : Geometry And Graphs

Example Question #1 : Opposite And Corresponding Angles

Example Question #2 : Opposite And Corresponding Angles

Example Question #3 : Opposite And Corresponding Angles

All GED Math Resources

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