Answer :

We can conclude that the value of angle y is 70° and x is 35°.

What are angles?

  • An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively.
  • Angles created by two rays are in the plane where the rays are located.
  • The meeting of two planes also creates angles.
  • We refer to these as dihedral angles.

So, a measure of 'x':

We can see that ∠BAC = ∠DAE (Inversely opposite angles)

  • ∠BAC = ∠DAE = 40°
  • We can observe that △DAE is an isosceles triangle with ∠2x and ∠y being equal.

Let 2x be y for instance:

  • y + y + 40 = 180
  • 2y = 180 - 40
  • 2y = 140
  • y = 140/2
  • y = 70°

Now, we know that y = 70 and similarly 2x = 70.

Now, solve for 'x' as follows:

  • 2x = 70
  • x = 70/2
  • x = 35°

Therefore, we can conclude that the value of angle y is 70° and x is 35°.

Know more about angles here:

https://brainly.com/question/25716982

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