Question

refer to the figure. select two vertical angles.
a) ∠ade and ∠afe
b) ∠afe and ∠efa
c) ∠dbe and ∠gbc
d) ∠adb and ∠feb

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: ∠ADE and ∠AFE are not vertical angles as they are not formed by the intersection of two lines.
• Option B: ∠AFE and ∠EFA are the same angle, not vertical angles.
• Option C: ∠DBE and ∠GBC are vertical angles because they are formed by the intersection of two lines and are opposite each other.
• Option D: ∠ADB and ∠FEB are not vertical angles as they are not formed by the intersection of two lines.

Answer:

C. ∠DBE and ∠GBC