Respuesta :

Answer: The answer is 125 degrees

Step-by-step explanation:

The value of ∠8 is 125°.

Alternate exterior angles

When two parallel lines are cut by a transverse. the angles formed on the exterior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Exterior Angle.

Supplementary Angle

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

Given to us

  • Lines j and k are parallel and cut by a transversal,
  • ∠1=55°,

Alternate exterior angles,

Therefore,

∠1 = 55° = ∠7

Supplementary Angle

As we can see on the transverse t, the ∠7 and ∠8 are supplementary to each other. therefore,

∠7+∠8=180°

55° + ∠8 =180°

∠8 = 180° - 55°

∠8 = 125°

Hence, the value of ∠8 is 125°.

Learn more about Alternate exterior angles:

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