In the diagram below, the horizontal lines are parallel. Find the value of x
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The measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other is 75 and 105 degrees respectively.
<h3>What are angles formed by transverse?</h3>Angles formed by the transverse line cut by the transversal-
- Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.
- Alternate interior angle- This angle made inside the parallel lines cut by the transversal.
- Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.
- Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.
In the given map, all numbered streets run parallel to each other. Here, both 3rd and 4th streets are intersected by King Avenue.
Here, the delivery driver is driving around town and has noticed that every time he turns, it creates an angle.
The angle y is the angle whose measure is 75 degree are the corresponding angle. Therefore, they must be equal as,
Hence, the measure of angle y is 75 degrees.
The angle y angle z are the supplementary angle, made on the same line. Therefore,
Hence, the measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other are 75 and 105 degrees respectively.
Learn more about angles formed by transverse line here;