Question

In the figure, a//b, and both lines are intersected by transversal t. Complete the statements to prove that m<1=m<5.

Answer 1

Answer:

• Transitive Property of Equality
• Alternate Interior Angles Theorem

Step-by-step explanation:

a) You're trying to justify that two sums equal to 180° are equal to each other. The Transitive Property of Equality is that justification.

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b) You're trying to justify that angles 3 and 6 are congruent. These are between the parallel lines, so are "interior" angles. They are on opposite sides of the transversal, so are "alternate" angles. They do not share a vertex, so cannot be vertical angles. The applicable theorem is the Alternate Interior Angles Theorem.