Basic Geometry : How to find an angle of a line

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

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

Lines A and B are parallel. Find the measurement of .

1

Possible Answers:

The measurement of  cannot be determined.

Correct answer:

Explanation:

When parallel lines are cut by a transversal, corresponding angles are congruent. The given angle and  are corresponding angles. 

must also have the same mesaurement as the given angle.

Example Question #22 : How To Find An Angle Of A Line

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

1

Possible Answers:

Correct answer:

Explanation:

 and the given angle are supplementary, meaning that their angle measurements add up to .

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

Example Question #41 : Lines

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

1

Possible Answers:

Correct answer:

Explanation:

 and the given angle are supplementary, meaning that their angle measurements add up to .

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

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

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

1

Possible Answers:

Correct answer:

Explanation:

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

The given angle and  are vertical angles.

 must also have the same mesaurement as the given angle.

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

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

1

Possible Answers:

Correct answer:

Explanation:

1

Notice that  and  are supplementary, meaning their angle measurements add up to .

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

Thus,

Example Question #42 : Lines

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

2

Possible Answers:

Correct answer:

Explanation:

The given angle and  are supplementary, meaning their angle measurements add up to .

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

Example Question #41 : Lines

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

2

Possible Answers:

Correct answer:

Explanation:

The given angle and  are interior consecutive angles, meaning they add up to .

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

Example Question #42 : Lines

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

2

Possible Answers:

Correct answer:

Explanation:

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

 must then be equal to the given value.

Therefore,

Example Question #1571 : Basic Geometry

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

2

Possible Answers:

The measure of  cannot be determined.

Correct answer:

Explanation:

The given angle and  are vertical angles. Vertical angles are congruent. 

 must have the same measure as the given angle.

Therefore,

Example Question #43 : Lines

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

2

Possible Answers:

Correct answer:

Explanation:

The given angle and  are alternative interior angles. Alternate interior angles are congruent. 

 must have the same measure as the given angle.

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