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Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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All Common Core: 7th Grade Math Resources

7 Diagnostic Tests 110 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #47 : Geometry

The figure represents a set of complementary angles, solve for .

Possible Answers:

$13^\circ$

$14^\circ$

$11^\circ$

$10^\circ$

$12^\circ$

Correct answer:

$10^\circ$

Explanation:

Complementary angles are defined as two angles that when added together equal $90^\circ$

From the question, we know that the two angles are complimentary, and thus equal $90^\circ$ , so we can set up the following equation:

x+80=90

Next we can solve for :

$\frac{\begin{array}[b]{r}x+80=90\\ -80-80\end{array}}{x= 10}$

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Example Question #48 : Geometry

The figure represents a set of complementary angles, solve for .

Possible Answers:

$7^\circ$

$5^\circ$

$9^\circ$

$8^\circ$

$6^\circ$

Correct answer:

$6^\circ$

Explanation:

Complementary angles are defined as two angles that when added together equal $90^\circ$

From the question, we know that the two angles are complimentary, and thus equal $90^\circ$ , so we can set up the following equation:

x+84=90

Next we can solve for :

$\frac{\begin{array}[b]{r}x+84=90\\ -84-84\end{array}}{x= 6}$

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Example Question #49 : Geometry

The figure represents a set of supplementary angles, solve for .

Possible Answers:

$93^\circ$

$90^\circ$

$92^\circ$

$91^\circ$

$94^\circ$

Correct answer:

$90^\circ$

Explanation:

Supplementary angles are defined as two angles that when added together equal $180^\circ$

From the question, we know that the two angles are supplementary, and thus equal $180^\circ$ , so we can set up the following equation:

x+90=180

Next we can solve for :

$\frac{\begin{array}[b]{r}x+90=180\\ -90-90\end{array}}{x= 90}$

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Example Question #50 : Geometry

The figure represents a set of supplementary angles, solve for .

Possible Answers:

$98^\circ$

$100^\circ$

$99^\circ$

$102^\circ$

$101^\circ$

Correct answer:

$102^\circ$

Explanation:

Supplementary angles are defined as two angles that when added together equal $180^\circ$

From the question, we know that the two angles are supplementary, and thus equal $180^\circ$ , so we can set up the following equation:

x+78=180

Next we can solve for :

$\frac{\begin{array}[b]{r}x+78=180\\ -78\ \ -78\end{array}}{x= 102}$

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Example Question #51 : Geometry

The figure represents a set of supplementary angles, solve for .

Possible Answers:

$115^\circ$

$119^\circ$

$116^\circ$

$117^\circ$

$118^\circ$

Correct answer:

$118^\circ$

Explanation:

Supplementary angles are defined as two angles that when added together equal $180^\circ$

From the question, we know that the two angles are supplementary, and thus equal $180^\circ$ , so we can set up the following equation:

x+62=180

Next we can solve for :

$\frac{\begin{array}[b]{r}x+62=180\\ -62\ \ -62\end{array}}{x= 118}$

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Example Question #52 : Geometry

The figure represents a set of supplementary angles, solve for .

Possible Answers:

$132^\circ$

$130^\circ$

$129^\circ$

$131^\circ$

$128^\circ$

Correct answer:

$129^\circ$

Explanation:

Supplementary angles are defined as two angles that when added together equal $180^\circ$

From the question, we know that the two angles are supplementary, and thus equal $180^\circ$ , so we can set up the following equation:

x+51=180

Next we can solve for :

$\frac{\begin{array}[b]{r}x+51=180\\ -51\ \ -51\end{array}}{x= 129}$

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Example Question #53 : Geometry

The figure represents a set of supplementary angles, solve for .

Possible Answers:

$143^\circ$

$139^\circ$

$141^\circ$

$142^\circ$

$140^\circ$

Correct answer:

$141^\circ$

Explanation:

Supplementary angles are defined as two angles that when added together equal $180^\circ$

From the question, we know that the two angles are supplementary, and thus equal $180^\circ$ , so we can set up the following equation:

x+39=180

Next we can solve for :

$\frac{\begin{array}[b]{r}x+39=180\\ -39\ \ -39\end{array}}{x= 141}$

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Example Question #54 : Geometry

The figure represents a set of supplementary angles, solve for .

Possible Answers:

$157^\circ$

$158^\circ$

$156^\circ$

$154^\circ$

$155^\circ$

Correct answer:

$158^\circ$

Explanation:

Supplementary angles are defined as two angles that when added together equal $180^\circ$

From the question, we know that the two angles are supplementary, and thus equal $180^\circ$ , so we can set up the following equation:

x+22=180

Next we can solve for :

$\frac{\begin{array}[b]{r}x+22=180\\ -22\ \ -22\end{array}}{x= 158}$

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Example Question #55 : Geometry

The figure represents a set of supplementary angles, solve for .

Possible Answers:

$85^\circ$

$84^\circ$

$81^\circ$

$82^\circ$

$83^\circ$

Correct answer:

$81^\circ$

Explanation:

Supplementary angles are defined as two angles that when added together equal $180^\circ$

From the question, we know that the two angles are supplementary, and thus equal $180^\circ$ , so we can set up the following equation:

x+99=180

Next we can solve for :

$\frac{\begin{array}[b]{r}x+99=180\\ -99\ \ -99\end{array}}{x= 81}$

Report an Error

Example Question #56 : Geometry

The figure represents a set of supplementary angles, solve for .

Possible Answers:

$73^\circ$

$72^\circ$

$71^\circ$

$74^\circ$

$70^\circ$

Correct answer:

$71^\circ$

Explanation:

Supplementary angles are defined as two angles that when added together equal $180^\circ$

From the question, we know that the two angles are supplementary, and thus equal $180^\circ$ , so we can set up the following equation:

x+109=180

Next we can solve for :

$\frac{\begin{array}[b]{r}x+109=180\\ -109-109\end{array}}{x= 71}$

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Common Core: 7th Grade Math : Grade 7

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #47 : Geometry

Example Question #48 : Geometry

Example Question #49 : Geometry

Example Question #50 : Geometry

Example Question #51 : Geometry

Example Question #52 : Geometry

Example Question #53 : Geometry

Example Question #54 : Geometry

Example Question #55 : Geometry

Example Question #56 : Geometry

All Common Core: 7th Grade Math Resources

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