Question

question 1-6 which image below provides a counterexample to the following statement? if two angles are supplementary, then they are adjacent angles.

Explanation:

Step1: Recall definitions

Supplementary angles add up to 180°. Adjacent angles share a common - vertex and a common side.

Step2: Analyze the first image

In the first image with angles at point V, ∠UVW = 135° and ∠WVX = 45°. They are supplementary (135 + 45=180°) and adjacent (share vertex V and side VW).

Step3: Analyze the second image

The second - image shows two non - adjacent angles. Since we need a counter - example (supplementary but non - adjacent), the second image is the counter - example as it can be part of a pair of non - adjacent angles that are supplementary.

Answer:

The second image.