Respuesta :

choixongdong
m<A + m<B = 180
8x + 74°+ 2x + 56° = 180
10x + 130 = 180
10x = 50
    x = 5

Angle B = 2x + 56° = 2(5) + 56 = 10 + 56 = 66
akposevictor

Applying the definition of same-side interior angles, the measure of angle B is: 66°

What are Same-side Interior Angles?

  • The sum of two interior angles on same of a transversal equals 180 degrees.
  • Same-side interior angles are supplementary angles.

Thus:

Angle A + Angle B = 180

  • Substitute

8x + 74 + 2x + 56 = 180

  • Solve for x

10x + 130 = 180

10x = 180 - 130

10x = 50

x = 5

Angle B = 2x + 56

  • Plug in the value of x

Angle B = 2(5) + 56

Angle B = 10 + 56

Angle B = 66 degrees.

Thus, applying the definition of same-side interior angles, the measure of angle B is: 66°

Learn more about same-side interior angles on:

https://brainly.com/question/16976757

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