Question

what is true about the relationship between ∠cbe and ∠dbe in the beach scene if ∠dbc is a straight angle?
angles on the beach
select all that apply.
a the angles are supplementary.
b the angles are vertical.
c the angles are adjacent.

Explanation:

Step1: Recall angle - relationship definitions

Adjacent angles share a common vertex and a common side. Supplementary angles add up to 180 degrees. Vertical angles are non - adjacent angles formed by two intersecting lines.

Step2: Analyze ∠CBE and ∠DBE

Since ∠DBC is a straight angle (180 degrees) and ∠DBC=∠CBE + ∠DBE, ∠CBE and ∠DBE are supplementary. Also, ∠CBE and ∠DBE share a common vertex B and a common side BE, so they are adjacent. They are not vertical angles as vertical angles are non - adjacent.

Answer:

A. The angles are supplementary.
C. The angles are adjacent.