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.

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 $\angle B D G$.
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Solution

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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.
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