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6 multiple choice 1 point in which figure are angles 1 and 2 supplement…

Question

6 multiple choice 1 point in which figure are angles 1 and 2 supplementary?

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees.

Step2: Analyze each option

In the first option, the two angles form a linear - pair. A linear - pair of angles is supplementary since they are adjacent and their non - common sides form a straight line. A straight line has an angle measure of 180 degrees. In the second option, the two angles do not form a linear - pair and their sum is less than 180 degrees. In the third option, the two angles are acute and their sum is less than 180 degrees. In the fourth option, the two angles are vertical angles and are equal in measure, and their sum is not necessarily 180 degrees.

Answer:

The first figure (where angles 1 and 2 form a linear - pair)