Mathematics: Given that lines a and b are parallel, what angles formed on line b when cut by the transversal are congruent with ∠2?

Given that lines a and b are parallel, what angles

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11.01.2022

The angles formed on line b when cut by the transversal are congruent with ∠2 are $\angle{6}\text{ and }\angle{7}$

Step-by-step explanation:

Consider the provided information.

If transversal line crossed by two parallel lines, then, the corresponding angles and alternate angles are equal .

The angles on the same corners are called corresponding angle.

Alternate Angles: Angles that are in opposite positions relative to a transversal intersecting two lines.

∠2 and ∠6 are corresponding angles

Therefore, ∠2 = ∠6

∠2 and ∠7 are alternate exterior angles

Therefore, ∠2 = ∠7

Hence, the angles formed on line b when cut by the transversal are congruent with ∠2 are $\angle{6}\text{ and }\angle{7}$

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