Question

geometry, measurement, data analysis identifying supplementary and vertical angles 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, $\angle1$ and $\angle2$ are adjacent and $\angle1+\angle2 = 180^{\circ}$.

Step2: Recall vertical - angles definition

Vertical angles are opposite angles formed by two intersecting lines. For example, $\angle1$ and $\angle3$ are vertical angles.

Answer:

(a) Supplementary angles: $\angle1$ and $\angle2$
(b) Vertical angles: $\angle1$ and $\angle3$