Question

which statement is true?
angle 2 and angle 4 are vertical
angle 3 and angle 6 are adjacent
angle 1 and angle 2 are supplementary
angle 2 and angle 6 are complementary

Explanation:

Step1: Recall definitions

Vertical angles are opposite angles formed by two intersecting lines. Adjacent angles share a common side and vertex. Supplementary angles sum to \(180^{\circ}\). Complementary angles sum to \(90^{\circ}\).

Step2: Analyze each option

• Angle 2 and Angle 4: Not vertical (no opposite - angle formation).
• Angle 3 and Angle 6: Not adjacent (no common side).
• Angle 1 and Angle 2: Share a common side and vertex, and \(\angle1+\angle2 = 180^{\circ}\) (linear - pair, so supplementary).
• Angle 2 and Angle 6: Not complementary (no \(90^{\circ}\) sum indication).

Answer:

Angle 1 and Angle 2 are supplementary.