Two parallel lines are crossed by a transversal. Determine the degree measure of each angle, then identify each angle's relation

Question

3 years ago

9

ship with other numbered angles.

1 answer:

denis-greek [22] · Answer 1 · 2022-08-29T23:44:25+03:00

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

$m$

∠2 and 56 are inside the parallel lines and they are opposite

<2 and 56 are alternate interior angle . Alternate interior angle are equal

$m$

<3 and 56 are opposite to each other. They are vertical opposite angles .

Vertical opposite angles are equal .

$m$