Question

proving a theorem give the reasons for the proof of consecutive interior angles converse. given: ∠1 and ∠2 are supplementary. prove: p||q statements reasons ∠1 and ∠2 are supplementary. ∠2 and ∠3 are supplementary. ∠1 + m∠2 = 180°, m∠2 + m∠3 = 180°

Explanation:

Step1: Given information

Given

Step2: Linear - pair postulate

$\angle2$ and $\angle3$ form a linear - pair, so they are supplementary.

Step3: Definition of supplementary angles

If two angles are supplementary, the sum of their measures is $180^{\circ}$.

Answer:

1. Given
2. Linear - pair postulate
3. Definition of supplementary angles