Questions: In the figure, lines BD and QS are parallel. Complete the given statement. The measure of angle CRQ is , and the measure of angle CRS is

Transcript text: In the figure, lines BD and QS are parallel. Complete the given statement. The measure of $\angle CRQ$ is $\square$, and the measure of $\angle CRS$ is $\square$

Solution

Solution Steps

Step 1: Identify the given angle

The given angle is ∠ACD, which measures 77°.

Step 2: Determine the measure of ∠CRQ

Since lines BD and QS are parallel, and AC is a transversal, ∠ACD and ∠CRQ are corresponding angles. Corresponding angles are equal when the lines are parallel.

Final Answer

The measure of ∠CRQ is 77°.

Step 3: Determine the measure of ∠CRS

Since lines BD and QS are parallel, and AC is a transversal, ∠ACD and ∠CRS are alternate interior angles. Alternate interior angles are equal when the lines are parallel.

Final Answer

The measure of ∠CRS is 77°.

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