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Angles and Their Relationships

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Questions and Answers

Which angles are equal to ∠4, which measures 115°?

∠1, ∠2, ∠3, ∠4, ∠5, ∠6
∠2, ∠4, ∠5, ∠7, ∠10, ∠11
∠5, ∠6, ∠7, ∠8, ∠11, ∠12
∠1, ∠2, ∠3, ∠4, ∠9, ∠10 (correct)

If ∠4 is 115°, which of the following angles is also equal to it?

∠11
∠10 (correct)
∠12
∠7

Which angles are supplementary to ∠4, which measures 115°?

∠9
∠8
∠5 (correct)
∠6

Identifying angles that are not equal to ∠4, which of the following is correct?

<p>∠12 (B)</p> Signup and view all the answers

Which of the following groups contains angles equal to ∠4, which measures 115°?

<p>∠9, ∠10, ∠11 (D)</p> Signup and view all the answers

Flashcards

Corresponding angles

Angles located on the same side of the transversal and in corresponding positions relative to the two parallel lines.

Interior angles

Angles located on the same side of the transversal and inside the parallel lines.

Exterior angles

Angles located on the same side of the transversal and outside the parallel lines.

Supplementary angles

Angles that add up to 180 degrees.

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Congruent angles

Angles that have the same measure when two parallel lines are cut by a transversal.

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Study Notes

Angles with the Same Measure

Angles ∠1, ∠3, ∠5, and ∠7 have the same measure as ∠115°
Angles ∠2, ∠4, ∠6, and ∠8 have the same measure as ∠65°
Angles ∠2, ∠4, ∠6, and ∠8 are supplementary to ∠115°
Angles ∠1, ∠3, ∠5, and ∠7 are supplementary to ∠65°
Angles 2, 4, 6, 8 are alternate interior angles.
Angles 1, 3, 5, 7 are alternate exterior angles.
Angles 2, 4, 6, 8 are consecutive interior angles.
Angles 1, 3, 5, 7 are consecutive exterior angles.
Corresponding angles have the same measure.

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