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Question

Which of the following options is/are correct when a transversal intersects two parallel lines?


A

Corresponding angles are equal.

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B

Alternate interior angles are equal.

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C

Vertically opposite angles are equal.

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D

Complementary angles are equal.

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Solution

The correct options are
A

Corresponding angles are equal.


B

Alternate interior angles are equal.


C

Vertically opposite angles are equal.


If two lines are parallel then:

Corresponding angles are equal i.e., a=e

Alternate interior angles are equal i.e., c=f

Alternate exterior angles are equal i.e., b=g

Vertically opposite angles are equal in case of intersecting lines.

Two angles are complementary when they add up to 90 degrees.


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