Question

/ If a line intersects two parallel lines then, which of the following pair of angles are congruent? *
options
corresponding angles
alternate interior angles alternate exterior angles
all of the above.​

Answer 1

corresponding angles

Answer 2

Given : a line intersects two parallel lines

To Find : which of the following pair of angles are congruent ? *

corresponding angles

alternate interior angles

alternate exterior angles

all of the above.​

Solution:

Properties of angles formed by transversal line  with two parallel lines :

• Corresponding angles are congruent.  

• Alternate angles are congruent.  ( Interiors & Exterior  both )  

• Interior angles are supplementary. ( adds up to 180°)

Checking with options :

corresponding angles   -  congruent.  

alternate interior angles  -  congruent.    

alternate exterior angles   -  congruent.    

Hence all of the above are congruent.      

All of the above is correct option

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