Question

name all of the angle(s) in the diagram that are adjacent and congruent to ∠tvu. choose the correct answer(s) below. select all that apply. a. ∠yvx b. ∠yxv c. ∠zvx d. ∠tvy e. ∠zv w f. there are no angles adjacent and congruent to ∠tvu.

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common side and a common vertex.

Step2: Recall congruent - angle definition

Congruent angles have equal measures.

Step3: Analyze each option

• For ∠YVX: It does not share a common side with ∠TVU, so it is not adjacent.
• For ∠YXV: It is not an angle with vertex V and is not adjacent to ∠TVU.
• For ∠ZVX: It does not share a common side with ∠TVU, so it is not adjacent.
• For ∠TVY: It shares a common side (ray TV) and a common vertex (V) with ∠TVU. Also, vertical - angles are congruent, and ∠TVY and ∠TVU are vertical - like angles in this intersection of lines, so ∠TVY is adjacent and congruent to ∠TVU.
• For ∠ZVY: It does not share a common side with ∠TVU, so it is not adjacent.

Answer:

D. ∠TVY