Question

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Answer 1

Answer:

The answer to your question is ∠2 = 130°        

Step-by-step explanation:

Data

 m∠1 + m∠5 = 100

From the picture, we notice that ∠1 and ∠5 are corresponding angles so they measure the same.

                        ∠1 + ∠1 = 100

                              2∠1 = 100

                               ∠1 = 100/2

                               ∠1 = 50°

From the picture, we know that ∠1 and ∠2 are supplementary, then,

                               ∠1 + ∠2 = 180

-Solve for ∠2

                               ∠2 = 180 - 50

-Result

                              ∠2 = 130°