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3. let angle a represent the angle on the northeast side of the interse…

Question

  1. let angle a represent the angle on the northeast side of the intersection between peachtree street and rock island road. let angle b represent the angle on the northeast side of the intersection between peachtree street and memorial boulevard.

a. the angle on the southwest side of the intersection between davis avenue and peachtree street has a measure of \\(65^{\circ}\\). determine the measure of \\(\angle a\\). (2 points)

b. what is the relationship between memorial boulevard and rock island road? explain. (3 points)

Explanation:

Identify the relationship between the southwest and northeast angles

$$ \angle A = 65^\circ $$

Determine the relationship between the roads

$$ \text{Memorial Boulevard} \parallel \text{Rock Island Road} $$

Answer:

Question 3a

\(m\angle A = 65^\circ\)

Question 3b

They are parallel lines. Since the corresponding angles at the intersections with the transversal Peachtree Street are equal, the lines must be parallel.