Question

question 4 (1 point)
(01.06 lc)
what angle relationship best describes angles afc and dfb?
a adjacent angles
b complementary angles
c linear pair
d vertical angles

Explanation:

Step1: Recall angle relationship definitions

• Adjacent angles: Share a common side and vertex, no common interior points.
• Complementary angles: Sum to \(90^\circ\).
• Linear pair: Adjacent, form a straight line (sum to \(180^\circ\)).
• Vertical angles: Opposite angles formed by intersecting lines, equal.

Step2: Analyze angles \( \angle AFC \) and \( \angle DFB \)

• Lines \( AB \) and \( CD \) intersect at \( F \), so \( \angle AFC \) and \( \angle DFB \) are opposite each other (vertical angles). They are formed by intersecting lines, no common side (except the vertex \( F \), but no shared side), and are equal. Adjacent? No, no shared side. Complementary? Not necessarily (no info on \(90^\circ\) sum here, though \( \angle EFB \) is right, but not related to these two). Linear pair? No, not adjacent or forming a straight line. Vertical angles match their position.

Answer:

d. Vertical angles