give one pair of vertical angles and one pair of supplementary angles shown in the figure below.
give one pair of vertical angles and one pair of supplementary angles shown in the figure below.
Answer
Explanation:
Step1: Recall vertical - angle definition
Vertical angles are opposite angles formed by two intersecting lines. In the given figure, when two lines intersect, $\angle1$ and $\angle2$ are vertical angles (also $\angle3$ and $\angle4$, $\angle5$ and $\angle6$, $\angle7$ and $\angle8$). Let's choose $\angle1$ and $\angle2$.
Step2: Recall supplementary - angle definition
Supplementary angles are two angles whose sum is $180^{\circ}$. Adjacent angles formed by two intersecting lines are supplementary. For example, $\angle1$ and $\angle5$ are supplementary.
Answer:
(a) Vertical angles: $\angle1$ and $\angle2$ (b) Supplementary angles: $\angle1$ and $\angle5$