Respuesta :

pandaeyes1021

Answer:

x = 33 degrees

Step-by-step explanation:

Angle B and Angle A are same interior angles, meaning they are congruent. So if Angle B is 42 degrees, that also means that Angle A is 42 degrees.

A straight line is 180 degrees, so you just need to add 42 and 105 together, and subtract that sum from 180, to find x.

105 + 42 = 147

180 - 147 = 33

anna2023147

Answer:

x=33

Step-by-step explanation:

We Know that BC is parallel to DE. This means that angle DAB and angle CBA are congruent.

Angle DAB= 42 degrees.

A line always has 180 degrees.

We can use this information to find x.

42+105+x=180

147+x=180

x=33

We can also use triangle ABC to solve this.

The sum of the angles in a triangle is always 180 degrees.

We can use this information to find angle BCA.

42+105+BCA=180

147+y=180

y=33

Again, since BC is parallel to DE, angle BCA and angle CAE are congruent.

This means that x=33

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