give one pair of supplementary angles and one pair of vertical angles shown in the figure below.
give one pair of supplementary angles and one pair of vertical angles shown in the figure below.
Answer
Answer:
(a) Supplementary angles: $\angle1$ and $\angle2$ (b) Vertical angles: $\angle1$ and $\angle3$
Explanation:
Step1: Define supplementary angles
Two angles are supplementary if their sum is $180^{\circ}$. Adjacent - angles on a straight - line are supplementary. $\angle1$ and $\angle2$ form a linear pair, so $\angle1+\angle2 = 180^{\circ}$.
Step2: Define vertical angles
Vertical angles are formed when two lines intersect. They are opposite each other. When the two lines intersect, $\angle1$ and $\angle3$ are vertical angles.