Question

directions: drag the correct answers to the appropriate boxes. select the angle numbers that describe the angle relationships in the figure.

Explanation:

Step1: Recall vertical - angles definition

Vertical angles are opposite each other when two lines intersect. So, $\angle1$ and $\angle3$ are vertical angles.

Step2: Recall adjacent - angles definition

Adjacent angles share a common side and a common vertex. $\angle4$ and $\angle3$ are adjacent angles.

Step3: Recall supplementary - angles definition

Supplementary angles add up to $180^{\circ}$. $\angle3$ and $\angle2$ are supplementary since they form a straight - line and a straight - line angle is $180^{\circ}$.

Step4: Recall complementary - angles definition

Complementary angles add up to $90^{\circ}$. $\angle3$ and $\angle4$ are complementary as the angle formed by the perpendicular lines is $90^{\circ}$.

Answer:

Vertical Angles: 1 and 3
Adjacent Angles: 4 and 3
Supplementary Angles: 3 and 2
Complementary Angles: 3 and 4