Question

safi, raihana
2025 nshs parallel lines and angles assessment
lines a and b are parallel.
which term best describes ∠5 and ∠6?
supplementary angles
corresponding angles
complementary angles
interior angles

Explanation:

• Supplementary angles: Two angles are supplementary if their sum is \(180^{\circ}\). \(\angle5+\angle6 = 180^{\circ}\) as they form a linear pair (adjacent angles on a straight line).
• Corresponding angles: These are pairs of angles in similar positions relative to parallel lines and a transversal. \(\angle5\) and \(\angle6\) are not in such a position.
• Complementary angles: Two angles are complementary if their sum is \(90^{\circ}\). \(\angle5+\angle6

eq90^{\circ}\).

• Interior angles: While \(\angle5\) and \(\angle6\) are on the interior of the intersection of line \(a\) and the transversal, the key property here is that they are supplementary (a linear - pair relationship).

Answer:

supplementary angles