Answer:
∠1 = 137
∠2 = 43
∠3 = 137
Explanation:
∠2 and 43 are alternate interior angles.
Alternate interior angles are equal.
So,
∠2 = 43.
∠1 and ∠3 are also alternate interior angles,
So,
∠1 = ∠3
∠1 and 42 are linear pair angles.
Sum of linear pair angles is 180,
∠1 + 42 = 180
∠1 = 180 - 43
∠1 = 137
Since,
∠1 = ∠3
So,
∠3 = 137
Hence,
∠1 = 137
∠2 = 43
∠3 = 137
Note : -
Alternate interior angles and linear pair angles are properties of angles.
And are applicable when two lines intersect or more than two lines interest.