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Answer:

Measure of ∠8 is 130°.

Step-by-step explanation:

We can solve for ∠8 in multiple steps:

∠1 = 50°

∠5 = 50° due to corresponding angles being equivalent

180° - m∠5 = m∠8 due to supplementary angles

180° - 50° = m∠8 = 130°

Therefore, the measure of ∠8 is 130°.

Answer: The measure of angle 8 is 130 degrees.

Step-by-step explanation:

Angle 8 and angle 4 has the same measures.  The same way angle 1 and angle 5 also have the same measures.So we know that angle 1 is 50 degrees so angle 5 is also 50 degrees. Angle 5 and  8 lies on a straight line.And straight lines have a measure of 180 degrees.So we know that angle 5 is 50 degrees so what angle measure will 50 degrees add up to get 180 degrees.

Use the equation

50 + x =180  solve for x

-50       -50

x = 130

This means angle 8 is 130 degrees .