give one pair of vertical angles and one pair of supplementary angles shown in the figure below. (a)…

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

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

Answer

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are opposite angles formed by the intersection of two lines. In the given figure, when two lines intersect, ∠1 and ∠4 are opposite angles. So, one pair of vertical angles is ∠1 and ∠4.

Step2: Recall supplementary - angle definition

Supplementary angles are two angles whose sum is 180°. Adjacent angles formed by a straight - line intersection are supplementary. For example, ∠1 and ∠2 are adjacent angles that form a straight line. So, ∠1 and ∠2 are supplementary.

Answer:

(a) ∠1 and ∠4 (b) ∠1 and ∠2