Question

In the figure, p || q.

Identify each pair of equal angles as vertical angles, corresponding angles, alternate interior angles, or alternate exterior angles.

m3 = m7:

m1 = m4:

m5 = m8:

m1 = m5:

m1 = m8:

m2 = m6:

m2 = m3:

m4 = m8:

m6 = m7:

m3 = m6:

m2 = m7:

m4 = m5:

Answer 1

m3 = m7: corresponding angles

m1 = m4: vertical

m5 = m8: vertical

m1 = m5: corresponding

m1 = m8: alternate exterior angles

m2 = m6: corresponding

m2 = m3: vertical

m4 = m8: corresponding

m6 = m7: vertical

m3 = m6: alternate interior

m2 = m7: alternate exterior angles

m4 = m5: alternate interior angles

Explanation:

Corresponding angles are in matching corners

Vertical angles are opposite angles with the corner touching

Alternate interior angles are opposite angles on the inside of the lines

Alternate exterior angles are opposite angles on the outside of the lines

m3 = m7: matching corners

corresponding angles

m1 = m4: opposite angles with corner touching

vertical angles

m5 = m8: opposite angles with corner touching

vertical

m1 = m5: matching corners

corresponding

m1 = m8: opposite angles on the outside of the lines

alternate exterior angles

m2 = m6:

matching corners

corresponding

m2 = m3: opposite angles with corner touching

vertical

m4 = m8: matching corners

corresponding

m6 = m7: opposite angles with corner touching

vertical

m3 = m6: opposite angles on the inside of the lines

alternate interior

m2 = m7: opposite angles on the outside of the lines

alternate exterior angles

m4 = m5: opposite angles on the inside of the lines

alternate interior angles