Questions: Name all of the angle(s) in the diagram that are adjacent and congruent to angle BDG. Choose the correct answer(s) below. Select all that apply. A. angle GDF B. angle GFD C. angle BDC D. angle HDF E. angle HDE F. There are no angles adjacent and congruent to angle BDG.
Transcript text: Name all of the angle(s) in the diagram that are adjacent and congruent to $\angle B D G$.
Choose the correct answer(s) below. Select all that apply.
A. $\angle \mathrm{GDF}$
B. $\angle \mathrm{GFD}$
C. $\angle B D C$
D. $\angle H D F$
E. $\angle H D E$
F. There are no angles adjacent and congruent to $\angle B D G$.
Solution
Solution Steps
Step 1: Identify the given angle
The given angle is ∠BDG.
Step 2: Determine adjacent angles
Adjacent angles share a common side and a common vertex. For ∠BDG, the adjacent angles are ∠GDF and ∠GDB.
Step 3: Determine congruent angles
Congruent angles have the same measure. Since ∠BDG is given, we need to find angles that are both adjacent and congruent to ∠BDG.
Final Answer
There are no angles adjacent and congruent to ∠BDG. Therefore, the correct answer is:
F. There are no angles adjacent and congruent to ∠BDG.