Question

given the image, which of these gives enough information to use one of the theorem converses to prove that p || r? m∠9 = 108°. m∠3 + m∠4 = 108°. m∠1 = 108°. m∠8 = 72°. two of these

Explanation:

Step1: Recall corresponding - angles property

If two lines are parallel, corresponding angles are equal. ∠1 and ∠9 are corresponding angles.

Step2: Use given angle measure

Given m∠9 = 108°. For p || r, m∠1=m∠9 (corresponding - angles postulate). So m∠1 = 108° is enough to prove p || r by the converse of the corresponding - angles postulate.

Answer:

m∠1 = 108°