Carmen found m∠1 this way:
m∠1 =105° because if two lines are parallel, alternate exterior angles are equal.
Is her answer correct? Explain why or why not.

Carmen found m1 this way m1 105 because if two lines are parallel alternate exterior angles are equal Is her answer correct Explain why or why not class=

Respuesta :

Camren answer is not correct. because m∠1=75 degrees

Given :

Carmen found m∠1 this way:

m∠1 =105° because if two lines are parallel, alternate exterior angles are equal.

From the given diagram, two parallel lines and a line transversal

angles 3  and 105 are in a straight line.

Sum of angles in a straight line is 180 degrees

[tex]m<3+105=180\\m<3=180-105\\m<3=75[/tex]

Here , angle 3  and angle 1  are alternate exterior angles

Alternate exterior angles are equal

m∠3=m∠1

m∠1=75

So, Camren answer is not correct. because m∠1=75 degrees

Learn more:  brainly.com/question/3227215

Answer:

She is not correct because ∠1 is an alternate exterior angle with ∠3, not the angle that measures 105°. So m∠1 = 75°.

Step-by-step explanation: