Question

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

Explanation:

Step1: Recall supplementary - angles definition

Supplementary angles add up to 180 degrees. Adjacent angles formed by two intersecting lines are supplementary. For example, ∠1 and ∠2 are adjacent and ∠1+∠2 = 180°.

Step2: Recall vertical - angles definition

Vertical angles are opposite angles formed by two intersecting lines. For example, ∠1 and ∠4 are vertical angles.

Answer:

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