Answer :

The missing reasons in the flow proof is

A is parallel to B

a . m∠5 = 40° is given in the question

b . m∠2 = 140° is given in the question

c. Sum of ∠5 and ∠2 is 180 °

d . Both ∠5 and ∠2 lie left of transversal line and inside of A and B

e. ∠5 and ∠2 are supplementary angles and ∠1 =∠4 = 140° which is a property to proof parallel lines therefore , A || B .

Two lines are said to Parallel lines when a  transversal line cut the lines then their corresponding angles , alternate exterior angles , and alternate interior are all equal to one another. Sum of same interior angle is 180°

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