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 are two angles whose sum is 180°. Adjacent angles formed by two intersecting lines are supplementary. For example, ∠1 and ∠2 are adjacent and their non - common sides 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. ∠1 and ∠3 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 ∠3