Payton is working on a proof that consecutive (same-side) interior angles are supplementary. Given that n ∥ mn ∥ m, fill in the following 2 column proof. (2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Statement Reason 1. ∡A + ∡B =1801. ∡A + ∡B =180 Linear pairs are supplementary 2. ∡A =∡E2. ∡A =∡E Response area 3. ∡E + ∡C =1803. ∡E + ∡C =180 Substitution 4. ∠E & ∠C 4. ∠E & ∠C are supplementary Response area Vertical Angles TheoremSubstitutionDefinition of congruenceCorresponding Angles PostulateLinear pairs are supplementaryTransitive Property of EqualityDefinition of supplementary anglesDefinition of complementary angles

Answer 1

Here's the completed two-column proof with the appropriate statements and reasons filled in:

| Statement | Reason | |-------------------------------|---------------------------------------------| | 1. ∡A + ∡B = 180 | 1. Linear pairs are supplementary | | 2. ∡A = ∡E | 2. Corresponding Angles Postulate | | 3. ∡E + ∡C = 180 | 3. Substitution | | 4. ∠E & ∠C are supplementary | 4. Definition of supplementary angles |

This proof shows the relationship between the angles in the context of parallel lines and a transversal, establishing that consecutive interior angles are supplementary.