In the diagram, which pair of angles are alternate interior angles?
A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
Angle 2 and Angle 5
Angle 1 and Angle 7
Angle 5 and Angle 3
Angle 7 and Angle 4
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Answer:
The summary of angle relationships of parallel lines and transversal as given in the above figure is tabulated below:
Pair of angles formed Angle relationships
Pairs of Corresponding angles ∠1 = ∠6, ∠4 = ∠8, ∠2 = ∠5, ∠3 = ∠7
Pairs of Alternate interior angles ∠4 = ∠5, ∠3 = ∠6
Pairs of Alternate exterior angles ∠1 = ∠7, ∠2 = ∠8
Pairs of Interior angles on the same side of the transversal ∠3 + ∠5 = 180°, ∠4 + ∠6 = 180°
Pairs of Vertically opposite angles ∠1 = ∠3, ∠2 = ∠4, ∠7 = ∠6, ∠8 = ∠5
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Answer:
Angle 5 and Angle 3
Step-by-step explanation:
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