Two lines are intersected by a third line. Two horizontal parallel lines are intersected by a third line. The third line intersects the top line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. The third line intersects the bottom line and forms 4 angles. Labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7. If Angle2 Is-congruent-to Angle6, which must be true about Angle2?

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lucic

Answer:

Angle 2 is corresponding angle to angle 6 because they are in matching corners

Step-by-step explanation:

When two parallel lines are crossed by another line (transverse line), the angles at matching corners are congruent and are called corresponding angles.

In the question, other corresponding angles are 1 and 5, 7 and 3 and 8 and 4

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If ∠2 is congruent to∠6, then they will be equal to each other because  ∠2 is the corresponding angle to ∠6.

What are corresponding angles?

In a literal sense, corresponding means pair-wise angles. Like the right corner angles of two triangles etc. But usually, we take them as:

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of the same measurement.

In the given question, other corresponding angles are 1 and 5, 7 and 3, and 8 and 4.

Thus, If ∠2 is congruent to∠6, then they will be equal to each other because  ∠2 is the corresponding angle to ∠6.

Learn more about angle ;

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