Question

Prove L2 is parallel to L3 and L1 is parallel to L4."

A) mZ1 + mL2 = mL3 + mL4
B) L3 and L4 are supplementary angles.
C) L2 and L3 are supplementary angles.
D) L1 and L4 are supplementary angles.

Answer 1

The given options do not prove that L2 is parallel to L3.

Step-by-step explanation:

To prove that L2 is parallel to L3, we need to show that the measures of the angles formed by L1 and L2 are equal to the measures of the angles formed by L3 and L4. From the given information, we can see that L1 and L4 are supplementary angles, which means their measures add up to 180 degrees. Therefore, option D) L1 and L4 are supplementary angles is the correct answer. As for L2 and L3, we do not have enough information to determine if they are supplementary angles or not. So, none of the given options prove that L2 is parallel to L3.