Question

select true or false for each statement.1. $angle 1$ and $angle 2$ are same-side exterior angles.$circ$ true$circ$ false2. $angle 3$ and $angle 12$ are alternate interior angles.$circ$ true$circ$ false3. $angle 2$ and $angle 10$ are corresponding angles.$circ$ true$circ$ false4. $angle 6$ and $angle 11$ are alternate exterior angles.$circ$ true$circ$ false

Explanation:

1. For ∠1 and ∠2: Same-side exterior angles lie on the same side of the transversal, outside the two lines. ∠1 and ∠2 are adjacent supplementary angles forming a linear pair, not same-side exterior angles.
2. For ∠3 and ∠12: Alternate interior angles lie between the two lines, on opposite sides of the transversal. ∠3 is outside the lower two lines, ∠12 is between them, so they are not alternate interior angles.
3. For ∠2 and ∠10: Corresponding angles occupy matching positions relative to the transversal and each line. ∠2 and ∠10 are in the same upper-left position relative to their respective intersections with the transversal, so they are corresponding angles.
4. For ∠6 and ∠11: Alternate exterior angles lie outside the two lines, on opposite sides of the transversal. ∠6 and ∠11 are both outside the lower two lines, on opposite sides of the transversal, so they meet this definition.

Answer:

1. ∠1 and ∠2 are same-side exterior angles: False
2. ∠3 and ∠12 are alternate interior angles: False
3. ∠2 and ∠10 are corresponding angles: True
4. ∠6 and ∠11 are alternate exterior angles: True