Question

On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

Answer 1

The map is an illustration of parallel lines and a transversal

• The measure of angle X is 105
• The measure of angle Y is 75
• The measure of angle Z is 105

How to determine the measures of the angles

Angles X and 75 are supplementary angles.

So, we have:

X = 180 - 75

Subtract

X = 105

Angles Y and 75 are corresponding angles.

So, we have:

Y = 75

Angles X and Z are alternate exterior angles.

So, we have:

Z = X

This gives

Z = 105

Hence, the measures of angles X, Y and Z are 105, 75 and 105 degrees respectively

Read more about angle measures at:

brainly.com/question/24607467

Answer 2

Based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:

• X = 105° (supplementary angles)
• Y = 105° (corresponding angles)
• Z = 105° (alternate exterior angles)

What are Angles formed by a Transversal and Parallel Lines?

Some of the angle measures formed are:

• Linear pair angles which are supplementary.
• Corresponding angles which are congruent.
• Alternate exterior angles which are congruent.

Thus:

X = 180 - 75 = 105° (supplementary angles)

Y = X = 105° (corresponding angles)

Z = X = 105° (alternate exterior angles)

Therefore, based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:

• X = 105° (supplementary angles)
• Y = 105° (corresponding angles)
• Z = 105° (alternate exterior angles)

Learn more about transversal and parallel lines on:

brainly.com/question/24607467