∠1 = 105° and ∠2 = 75°
What are parallel lines?
"These are the lines in the same plane that are at equal distance from each other and never meet."
What is transversal?
"It is a line that passes through two lines in the same plane at two distinct points."
What are corresponding angles?
"The angles which are formed in matching corners or corresponding corners with the transversal when the transversal intersects two parallel lines."
For given question,
Line c and line d are parallel lines.
These parallel lines are intersected by a transversal.
We can observe that ∠2 and the angle that measures 75° are corresponding angles.
We know that the corresponding angles are congruent.
⇒ ∠2 = 75°
Also, the sum of all angles on either side of the line is 180°
⇒ ∠1 + ∠2 = 180°
⇒ ∠1 + 75° = 180°
⇒ ∠1 = 105°
Therefore, ∠1 = 105° and ∠2 = 75°
Learn more about parallel lines and transversal here:
https://brainly.com/question/17432060
#SPJ3
