Question

question 3 consider the figure below. which angle is supplementary to ∠7 but does not form a linear pair? ∠6 ∠4 ∠1 ∠5

Explanation:

Step1: Recall angle - supplementary and linear - pair concepts

Supplementary angles add up to 180 degrees. A linear - pair of angles are adjacent and supplementary.

Step2: Analyze the given figure

In the figure, ∠7 and ∠6 form a linear pair. ∠7 and ∠4 are corresponding angles and not supplementary in the general sense of non - parallel lines. ∠7 and ∠1 are supplementary because they are same - side interior angles (assuming the two lines cut by the transversal are parallel or using angle - sum properties in the intersection of lines). ∠7 and ∠5 are not related in a supplementary way.

Answer:

∠1