Question

name:
in the diagram below, lines k and m are parallel. ∠7 and ∠8 are
a complementary angles
b vertical angles
c supplementary angles
d alternate exterior angles

Explanation:

• Complementary angles: Two angles whose sum is \(90^{\circ}\). There is no indication \(\angle7+\angle8 = 90^{\circ}\).
• Vertical angles: Angles opposite each other when two lines cross. \(\angle7\) and \(\angle8\) are not formed by two - crossing lines in this way.
• Supplementary angles: Two angles whose sum is \(180^{\circ}\). \(\angle7\) and \(\angle8\) form a linear pair (they are adjacent and their non - common sides form a straight line). By the definition of a linear pair, \(\angle7+\angle8=180^{\circ}\).
• Alternate exterior angles: Angles that lie outside the two parallel lines and on opposite sides of the transversal. \(\angle7\) and \(\angle8\) do not fit this definition.

Answer:

C. Supplementary angles