Question

given that $overline{rq}congoverline{st}$ and $angle r$ is a right - angle, find the measures of the remaining angles, and identify what type of quadrilateral $qrst$ is. use the drop - down arrows to complete the sentences. the measure of $angle q$ is degrees. the measure of $angle t$ is degrees. the measure of $angle s$ is degrees. quadrilateral $qrst$ is a

Explanation:

Step1: Recall properties of quadrilaterals

Since $\overline{RQ}\cong\overline{ST}$ and $\angle R = 90^{\circ}$, assume $QRST$ is a rectangle (a special - type of quadrilateral). In a rectangle, opposite angles are equal and all angles are right - angles.

Step2: Determine angle measures

In a rectangle, $\angle Q=\angle R = 90^{\circ}$, $\angle T=\angle R = 90^{\circ}$, and $\angle S=\angle Q = 90^{\circ}$. Also, a rectangle is a type of parallelogram with four right - angles.

Answer:

The measure of $\angle Q$ is 90 degrees.
The measure of $\angle T$ is 90 degrees.
The measure of $\angle S$ is 90 degrees.
Quadrilateral $QRST$ is a rectangle.