Question

the figure shows three parallel lines cut by a transversal.
determine whether each statement is true.
select true or false for each statement.
∠3 and ∠5 are same - side exterior angles.
∠7 and ∠10 are corresponding angles.
∠3 and ∠12 are alternate exterior angles.

Explanation:

Step1: Analyze the relationship between ∠3 and ∠12

Alternate exterior angles are non - adjacent exterior angles that lie on opposite sides of the transversal. ∠3 is an interior angle, so ∠3 and ∠12 are not alternate exterior angles. The statement “∠3 and ∠12 are alternate exterior angles” is False.

Step2: Analyze the relationship between ∠7 and ∠10

Corresponding angles are in the same relative position. ∠7 and ∠10 are not in the same relative position. The statement “∠7 and ∠10 are corresponding angles” is False.

Step3: Analyze the relationship between ∠3 and ∠5

Same - side exterior angles are exterior angles that lie on the same side of the transversal. ∠3 is an interior angle. ∠3 and ∠5 are same - side interior angles, not same - side exterior angles. The statement “∠3 and ∠5 are same - side exterior angles” is False.

Answer:

1. False
2. False
3. False