haydenhicks100
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On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?

In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.

On the map below all numbered streets run parallel to each other Both 3rd and 4th streets are intersected by King Avenue A delivery driver is driving around tow class=

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MrRoyal

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:

https://brainly.com/question/24607467

akposevictor

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:

https://brainly.com/question/24607467

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