The required measures of angles ∠1 = 59°, ∠2 = 61° and ∠3 = 119°
Intersecting Lines:
If two or more line intersecting in any plane then interior angles, exterior angles, line pair angles and corresponding angles are made.
How to calculate measures of the angles ?
On the observation of given parallel lines and their intersecting lines we have
At lowest intersection point
∠4 + 60° + 61° = 180°
∠4 = 59°
Now
∠4 = ∠1 = 59° alternate interior angles
Using the triangle sum property
∠1 + ∠2 + 60° = 180°
59° + ∠2 + 60° = 180°
∠2 = 61° This is also alternate interior angles
Also we have
∠2 + ∠3 = 180°
61° + ∠3 = 180°
∠3 = 119°
This is the conclusion to the answer.
Learn more about intersecting lines here-
https://brainly.com/question/2065148
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