When Two parallel lines are crossed by a transversal
m∠1 = 124 ° , Relationship : Linear pair of angles
m∠2 = 56 ° , Relationship : Alternate interior angles
m∠3 = 56 ° , Relationship : vertical opposite angles
Given :
Two parallel lines are crossed by a transversal
In the diagram , it is given an angle that measures 56 degrees
m<1 and 56 are linear pair . Sum of linear pair of angles is equal to 180
[tex]m<1+56=180\\m<1=180-56\\m<1=124[/tex]
∠2 and 56 are inside the parallel lines and they are opposite
<2 and 56 are alternate interior angle . Alternate interior angle are equal
[tex]m<2=56[/tex]
<3 and 56 are opposite to each other. They are vertical opposite angles .
Vertical opposite angles are equal .
[tex]m<3=56[/tex]
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