in the diagram, which angles are vertical angles? select two options.\n∠abe and ∠abc\n∠abe and ∠cbd\n∠abe…

in the diagram, which angles are vertical angles? select two options.\n∠abe and ∠abc\n∠abe and ∠cbd\n∠abe and ∠ebd\n∠abc and ∠ebd\n∠abc and ∠cbd

in the diagram, which angles are vertical angles? select two options.\n∠abe and ∠abc\n∠abe and ∠cbd\n∠abe and ∠ebd\n∠abc and ∠ebd\n∠abc and ∠cbd

Answer

Answer:

B. ∠ABE and ∠CBD; D. ∠ABC and ∠EBD

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

  • Option A: ∠ABE and ∠ABC share a common side and are adjacent, not vertical.
  • Option B: ∠ABE and ∠CBD are opposite each other when lines AE and CD intersect at B, so they are vertical angles.
  • Option C: ∠ABE and ∠EBD are adjacent, sharing a common side BE, not vertical.
  • Option D: ∠ABC and ∠EBD are opposite each other when lines AE and CD intersect at B, so they are vertical angles.
  • Option E: ∠ABC and ∠CBD share a common side and are adjacent, not vertical.