High School

In the diagram below, DE is parallel to XV. What is the value of y?

122

A. 78

B. 112

C. 122

D. 58

In the diagram below DE is parallel to XV What is the value of y 122 A 78 B 112 C 122 D 58

Answer :

Answer:

The value of y is 78.

Step-by-step explanation:

To find the value of y, we need to use the fact that corresponding angles formed by a transversal intersecting parallel lines are congruent.

In the given diagram, DE is parallel to XV. Let's label the angles in the diagram:

  • Angle AED = y (given)
  • Angle XVE = 122° (given)
  • Angle AEX = 78° (opposite angles are congruent)

Since angle AEX and angle AED are corresponding angles, they are congruent. Therefore, we have:

Angle AED = Angle AEX

y = 78°

So, the value of y is 78.

Learn more about parallel lines diagram here:

https://brainly.com/question/31041018

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Final answer:

The value of y is 78.

Explanation:

To find the value of y, we need to use the fact that corresponding angles formed by a transversal intersecting parallel lines are congruent.

In the given diagram, DE is parallel to XV. Let's label the angles in the diagram:

  • Angle AED = y (given)
  • Angle XVE = 122° (given)
  • Angle AEX = 78° (opposite angles are congruent)

Since angle AEX and angle AED are corresponding angles, they are congruent. Therefore, we have:

Angle AED = Angle AEX

y = 78°

So, the value of y is 78.

Learn more about parallel lines diagram here:

https://brainly.com/question/31041018

#SPJ14