Question

gonzalez, jasmine
what are the measures, in degrees, of angle j and angle k?
angle j: 125
angle k:

Explanation:

Step1: Analyze angle j

Since Park Street and Washington Street are parallel (indicated by the dashed lines, suggesting they are parallel), and Main Street is a transversal, angle j and the 125° angle are corresponding angles (or alternate interior angles, depending on the configuration), so they are equal. Thus, angle j = 125°.

Step2: Analyze angle k

Angle j and angle k are supplementary angles (they form a linear pair, so their sum is 180°). So we use the formula: \( \text{angle } k = 180^\circ - \text{angle } j \).
Substitute angle j = 125°: \( \text{angle } k = 180 - 125 = 55^\circ \).

Answer:

Angle j: 125, Angle k: 55