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Basic Geometry : How to find an angle of a line

Study concepts, example questions & explanations for Basic Geometry

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Example Question #21 : How To Find An Angle Of A Line

If lines A and B are parallel, what is the measurement of $\angle2$ ?

Possible Answers:

$78^\circ$

$102^\circ$

$44^\circ$

$95^\circ$

Correct answer:

$102^\circ$

Explanation:

$\angle2$ and the given angle are supplementary, meaning that their angle measurements add up to 180 .

$\angle2+78^\circ=180^\circ$

Subtracting 78 from each side to find the measurement of angle two.

$\angle2=102^\circ$

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Example Question #31 : Lines

If lines A and B are parallel, find the measurement for $\angle3$ .

Possible Answers:

$97^\circ$

$102^\circ$

$78^\circ$

$112^\circ$

Correct answer:

$102^\circ$

Explanation:

$\angle3$ and the given angle are supplementary, meaning that their angle measurements add up to 180 .

$\angle3+78^\circ=180^\circ$

Subtract 78 from both sides to find the measurement of angle 3.

$\angle3=102^\circ$

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Example Question #41 : Lines

If lines A and B are parallel, what is the measurement for $\angle4$ ?

Possible Answers:

$89^\circ$

$102^\circ$

$75^\circ$

$78^\circ$

Correct answer:

$78^\circ$

Explanation:

When parallel lines are cut by a transversal, vertical angles are congruent.

The given angle and $\angle4$ are vertical angles.

$\angle4$ must also have the same mesaurement as the given angle.

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Example Question #24 : How To Find An Angle Of A Line

If lines A and B are parallel, what is the measurement of angle 5?

Possible Answers:

$102^\circ$

$78^\circ$

$117^\circ$

$65^\circ$

Correct answer:

$102^\circ$

Explanation:

Notice that $\angle5$ and $\angle1$ are supplementary, meaning their angle measurements add up to 180 .

$\angle5+\angle1=180^\circ$

Now, notice that $\angle1$ and the given angle are corresponding angles, meaning that their measurements are the same.

Thus,

$\angle5+78^\circ=180^\circ$

$\angle5=102^\circ$

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Example Question #25 : How To Find An Angle Of A Line

If lines D and E are parallel, what is the measure of $\angle7$ ?

Possible Answers:

$127^\circ$

$53^\circ$

$87^\circ$

$43^\circ$

Correct answer:

$53^\circ$

Explanation:

The given angle and $\angle 7$ are supplementary, meaning their angle measurements add up to 180 .

$\angle7+127^\circ=180^\circ$

Subtract 127 from both sides to find the measurement of angle seven.

$\angle7=53^\circ$

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Example Question #41 : Lines

If lines D and E are parallel, what is the measure of $\angle8$ ?

Possible Answers:

$127^\circ$

$93^\circ$

$107^\circ$

$53^\circ$

Correct answer:

$53^\circ$

Explanation:

The given angle and $\angle8$ are interior consecutive angles, meaning they add up to 180 .

$\angle8+127^\circ=180^\circ$

Subtract 127 from both sides to find the measurement of angle eight.

$\angle8=53^\circ$

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Example Question #1571 : Plane Geometry

If lines D and E are parallel, what is the measure of $\angle9$ ?

Possible Answers:

$165^\circ$

$115^\circ$

$97^\circ$

$127^\circ$

Correct answer:

$127^\circ$

Explanation:

The given angle and $\angle9$ are corresponding angles. Corresponding angles share the same value.

$\angle9$ must then be equal to the given value.

Therefore,

$\angle9=127^\circ$

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Example Question #43 : Lines

If lines D and E are parallel, what is the measure of $\angle10$ ?

Possible Answers:

$156^\circ$

The measure of $\angle10$ cannot be determined.

$127^\circ$

$111^\circ$

Correct answer:

$127^\circ$

Explanation:

The given angle and $\angle10$ are vertical angles. Vertical angles are congruent.

$\angle10$ must have the same measure as the given angle.

Therefore,

$\angle10=127^\circ$

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Example Question #29 : How To Find An Angle Of A Line

If lines D and E are parallel, what is the measure of $\angle11$ ?

Possible Answers:

$133^\circ$

$127^\circ$

$53^\circ$

$57^\circ$

Correct answer:

$127^\circ$

Explanation:

The given angle and $\angle11$ are alternative interior angles. Alternate interior angles are congruent.

$\angle11$ must have the same measure as the given angle.

$\angle11=127^\circ$

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Example Question #30 : How To Find An Angle Of A Line

If lines D and E are parallel, what is the measure of $\angle12$ ?

Possible Answers:

$135^\circ$

$63^\circ$

$91^\circ$

$53^\circ$

Correct answer:

$53^\circ$

Explanation:

The given angle and $\angle12$ are supplementary, meaning that their values must add up to 180 .

$\angle12+127^\circ=180^\circ$

Subtract 127 from both sides to find the measurement of angle twelve.

$\angle12=53^\circ$

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Basic Geometry : How to find an angle of a line

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #21 : How To Find An Angle Of A Line

Example Question #31 : Lines

Example Question #41 : Lines

Example Question #24 : How To Find An Angle Of A Line

Example Question #25 : How To Find An Angle Of A Line

Example Question #41 : Lines

Example Question #1571 : Plane Geometry

Example Question #43 : Lines

Example Question #29 : How To Find An Angle Of A Line

Example Question #30 : How To Find An Angle Of A Line

All Basic Geometry Resources

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