Question

HELP ME PLEASE GUYS Match each pair of angles with the correct angle relationship(s). Explain your reasoning for each.

Answer 1

Angle AOB and angle COD = Vertical.

Angle DOE and angle COD = Complementary, adjacent.

Angle AOB and angle AOD = Supplementary, adjacent.

Explanation:

Angle AOB and angle COD are vertically opposite angles because the angle of AOB is the same with the angle of COD.

Angle DOE and COD are complementary because two of them added together will give 90° and they are adjacent because they have a common line (line DO) and a common point (point O).

Angle AOB and AOD are supplementary because when they are added together, it will give 180° and they are adjacent because they have a common line (line AO) and a common point (point O).

I hope you understand my explanation.