Question

given the following intersecting lines, how can angles 3 and 1 be classified? show your work here vertical angles supplementary angles adjacent angles complementary angles none of the above

Explanation:

Step1: Recall the definitions

• Vertical Angles: Angles opposite each other when two lines intersect.
• Adjacent Angles: Angles that share a common side and vertex.
• Supplementary Angles: Angles whose sum is \(180^{\circ}\).
• Complementary Angles: Angles whose sum is \(90^{\circ}\).

Step2: Analyze \(\angle1\) and \(\angle3\)

• \(\angle1 = 90^{\circ}\) (right - angle).
• \(\angle3\) is not adjacent to \(\angle1\) (no common side).
• \(\angle1+\angle3=90^{\circ}+\angle3

eq90^{\circ}\) (not complementary).

• \(\angle1+\angle3 = 90^{\circ}+\angle3

eq180^{\circ}\) (not supplementary).

• \(\angle1\) and \(\angle3\) are not vertical angles (not opposite).

Answer:

None of the above