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The answer to your question is below

Step-by-step explanation:

Data

∠1 = 105°

Process

a)

∠2 = 180 - 105 = 75°          supplementary angles

∠3 = ∠2 = 75°                     supplementary angles

∠4 = 105°                            vertical angles

∠5 = 105°                            corresponding angles

∠6 = 180 - 105 = 75°           alternate interior angles

∠7 = ∠6 = 75°                      supplementary angles

∠8 = 105°                             alternate interior angles

b)

∠3 = 80°

∠1 = 180 - 80 = 100°           supplementary angles

∠2 = 80°                              vertical angles

∠4 = 100°                              supplementary angles

∠5 = 100°                             supplementary angles

∠6 = 80°                               alternate interior angles

∠7 = 80°                               corresponding angles

∠8 = 100°                              supplementary angles

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: