Question

refer to the figure. select two adjacent angles.

a) ∠ade and ∠bde
b) ∠afe and ∠efa
c) ∠deb and ∠gbc
d) ∠def and ∠bde

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side, and have no interior points in common.

Step2: Analyze option A

$\angle ADE$ and $\angle BDE$ share the common vertex $D$ and the common - side $DE$. They have no interior points in common.

Step3: Analyze option B

$\angle AFE$ and $\angle EFA$ are the same angle, not adjacent angles.

Step4: Analyze option C

$\angle DEB$ and $\angle GBC$ do not share a common vertex or a common side.

Step5: Analyze option D

$\angle DEF$ and $\angle BDE$ do not share a common side or a common vertex in the required way for adjacent angles.

Answer:

A. $\angle ADE$ and $\angle BDE$