Question

drag each tile to the correct location in the table.
$overleftrightarrow{ab}$ and $overleftrightarrow{cd}$ intersect in the figure. use the figure to identify each pair of angles as complementary or supplementary.

$angle 2$ and $angle 3$ $angle 3$ and $angle 4$ $angle 4$ and $angle 5$

complementary supplementary

Explanation:

Step1: Define angle types

Complementary: sum = $90^\circ$; Supplementary: sum = $180^\circ$.

Step2: Analyze $\angle2$ and $\angle3$

$\angle AEC = 90^\circ$, so $\angle2+\angle3=90^\circ$.

Step3: Analyze $\angle3$ and $\angle4$

$\angle3+\angle4$ form a straight line, so $\angle3+\angle4=180^\circ$.

Step4: Analyze $\angle4$ and $\angle5$

$\angle4+\angle5$ form a straight line, so $\angle4+\angle5=180^\circ$.

Answer:

Complementary:

$\angle2$ and $\angle3$

Supplementary:

$\angle3$ and $\angle4$, $\angle4$ and $\angle5$