Question

give one pair of supplementary angles and one pair of vertical angles shown in the figure below.

Explanation:

Step1: Recall supplementary - angles definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles formed by two intersecting lines are supplementary. For example, ∠1 and ∠2 are adjacent and form a straight - line, so ∠1+∠2 = 180°.

Step2: Recall vertical - angles definition

Vertical angles are the non - adjacent angles formed by two intersecting lines. In the given figure, ∠1 and ∠4 are vertical angles as they are opposite each other when two lines intersect.

Answer:

(a) Supplementary angles: ∠1 and ∠2
(b) Vertical angles: ∠1 and ∠4