Proving Lines Parallel

Question 1

If angle 1 is 110°, what would the other angle measures have to be in order for m || n and q || p? Angle 2 = ° Angle 3 = ° Angle 4 = °

Revolt · Accepted Answer

Part 1: 70; Part 2: 70; Part 3: 110

Question 2

Find the values of x and y that make k || j and m || n. x = ⇒ 80° y = ⇒ 130°

Revolt · Accepted Answer

⇒ 80: 40; ⇒ 130: 120

Question 3

Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the .

Revolt · Accepted Answer

it is given; Selection 1: it is given; Selection 2: angle 2; Selection 3: angle 3; Selection 4: converse alternate exterior angles theorem

Question 4

Question 112867

Revolt · Accepted Answer

angle 2

Question 5

Question 112869

Revolt · Accepted Answer

angle 3

Question 6

Given: ∠T ≅ ∠V; ST || UVProve: TU || VW

Revolt · Accepted Answer

alternate interior angles theorem; ♣ = ♦ = ♠ =: alternate interior angles theorem; ♣ = ♦ = ♠ =: transitive property; ♣ = ♦ = ♠ =: converse alternate interior angles theorem

Proving Lines Parallel Answers

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