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Common Core: 7th Grade Math : Solve Simple Equations for an Unknown Angle in a Figure: CCSS.Math.Content.7.G.B.5

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

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All Common Core: 7th Grade Math Resources

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Example Questions

Example Question #51 : Geometry

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

Possible Answers:

$5^\circ$

$7^\circ$

$9^\circ$

$6^\circ$

$8^\circ$

Correct answer:

$6^\circ$

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+174=180

Next we can solve for :

$\frac{\begin{array}[b]{r}x+174=180\\ -174-174\end{array}}{x= 6}$

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Example Question #31 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :

Possible Answers:

$90^\circ$

$114^\circ$

$86^\circ$

$94^\circ$

$87^\circ$

Correct answer:

$94^\circ$

Explanation:

A pair of intersecting angles is illustrated by the provided image.

$94^\circ$ and are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, $x=94^\circ$

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Example Question #692 : Grade 7

Solve for :

Possible Answers:

$90^\circ$

$180^\circ$

$162^\circ$

$92^\circ$

$91^\circ$

Correct answer:

$90^\circ$

Explanation:

A pair of intersecting angles is illustrated by the provided image.

$90^\circ$ and are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, $x=90^\circ$

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Example Question #32 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :

Possible Answers:

$78^\circ$

$102^\circ$

$24^\circ$

$12^\circ$

$96^\circ$

Correct answer:

$78^\circ$

Explanation:

A pair of intersecting angles is illustrated by the provided image.

$78^\circ$ and are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, $x=78^\circ$

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Example Question #33 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :

Possible Answers:

$82^\circ$

$61^\circ$

$119^\circ$

$103^\circ$

$29^\circ$

Correct answer:

$61^\circ$

Explanation:

A pair of intersecting angles is illustrated by the provided image.

$61^\circ$ and are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, $x=61^\circ$

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Example Question #34 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :

Possible Answers:

$40^\circ$

$140^\circ$

$50^\circ$

$67^\circ$

$124^\circ$

Correct answer:

$40^\circ$

Explanation:

A pair of intersecting angles is illustrated by the provided image.

$40^\circ$ and are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, $x=40^\circ$

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Example Question #35 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :

Possible Answers:

$11^\circ$

$79^\circ$

$19^\circ$

$169^\circ$

$22^\circ$

Correct answer:

$11^\circ$

Explanation:

A pair of intersecting angles is illustrated by the provided image.

$11^\circ$ and are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, $x=11^\circ$

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Example Question #36 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :

Possible Answers:

$122^\circ$

$169^\circ$

$121^\circ$

$11^\circ$

$111^\circ$

Correct answer:

$169^\circ$

Explanation:

A pair of intersecting angles is illustrated by the provided image.

$169^\circ$ and are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, $x=169^\circ$

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Example Question #37 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :

Possible Answers:

$78^\circ$

$62^\circ$

$80^\circ$

$28^\circ$

$152^\circ$

Correct answer:

$152^\circ$

Explanation:

A pair of intersecting angles is illustrated by the provided image.

$152^\circ$ and are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, $x=152^\circ$

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Example Question #38 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Solve for :

Possible Answers:

$156^\circ$

$98^\circ$

$66^\circ$

$147^\circ$

$33^\circ$

Correct answer:

$147^\circ$

Explanation:

A pair of intersecting angles is illustrated by the provided image.

$147^\circ$ and are vertical angles because they share the same vertex, or corner spot. Vertical angles are always equal; thus, $x=147^\circ$

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All Common Core: 7th Grade Math Resources

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Common Core: 7th Grade Math : Solve Simple Equations for an Unknown Angle in a Figure: CCSS.Math.Content.7.G.B.5

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

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #51 : Geometry

Example Question #31 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Example Question #692 : Grade 7

Example Question #32 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Example Question #33 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Example Question #34 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Example Question #35 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Example Question #36 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Example Question #37 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

Example Question #38 : Solve Simple Equations For An Unknown Angle In A Figure: Ccss.Math.Content.7.G.B.5

All Common Core: 7th Grade Math Resources

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