Question

based on the pattern in the drawings, which conjecture is reasonable to make? the vertical angles formed by two intersecting lines are complementary. the adjacent angles formed by two intersecting lines are supplementary. the vertical angles formed by two intersecting lines are supplementary. the adjacent angles formed by two intersecting lines are complementary

Explanation:

• Complementary angles: Two angles are complementary if their sum is \(90^{\circ}\).
• Supplementary angles: Two angles are supplementary if their sum is \(180^{\circ}\).
• Vertical angles: Vertical angles are opposite angles formed by two intersecting lines and are equal.
• Adjacent angles: Adjacent angles formed by two intersecting lines form a linear - pair. A linear - pair of angles is supplementary. For example, in the first drawing, \(135^{\circ}+45^{\circ}=180^{\circ}\), in the second drawing \(130^{\circ}+50^{\circ}=180^{\circ}\), and in the third drawing \(160^{\circ}+20^{\circ}=180^{\circ}\).

Answer:

The adjacent angles formed by two intersecting lines are supplementary.