Question

Which angles are supplementary to CED? Select all that apply.

Answer 1

∠BEC, ∠DEA

Explanation:

You want to know the angles supplementary to ∠CED, given line AC crosses line BD at point E.

Supplementary angles

Supplementary angles total 180°, the measure of a straight angle. That is, two angles the form a linear pair are supplementary.

Where two lines cross, each angle is part of a linear pair with two other angles. Here, angles that form a linear pair with ∠CED are ∠DEA (makes line CA) and ∠BEC (makes line BD).

Angles BEC and DEA are supplementary to ∠CED.