Question

Fill in the blank plz

Answer 1

Step-by-step explanation:

a. Given => m∠5 = 40°

b. Given => m∠2 = 140°

c. Same Side Interior Angle Theorem => The same side interior angles must add up to 180°, which in this case, it does. m∠4 and m∠2 are alternate interior angles, and so there measurements are the same. 180 - 140 = 40

d. Both angles are part of the "same-side interior angles", which means that there measurements should add up to 180°. Note that m∠5 = 40°, and m∠2 = 140° (Given). Set the equation

m∠5 + m∠2 = 180

Plug in the number for each angle

40 + 140 = 180

180 = 180 (True).

e. It is proven that the above measurements are congruent with their corresponding parts. This means that a || b through Converse of Same Side Interior angle Theorem.

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