Question

give one pair of supplementary angles and one pair of vertical angles shown in the figure below. (a) supplementary angles: \\( \angle \square \\) and \\( \angle \square \\) (b) vertical angles: \\( \angle \square \\) and \\( \angle \square \\)

Explanation:

• Supplementary angles are two angles that add up to \(180^{\circ}\). In the figure, \(\angle1\) and \(\angle2\) form a linear pair, so \(\angle1+\angle2 = 180^{\circ}\).
• Vertical angles are two non - adjacent angles formed by the intersection of two lines. In the figure, \(\angle1\) and \(\angle6\) are vertical angles.

Answer:

(a) Supplementary angles: \(\angle1\) and \(\angle2\)
(b) Vertical angles: \(\angle1\) and \(\angle6\)