Question

which of the following equations could be used to find the missing angle measure?
44 = 180 + q
none of these
44 + q = 90
q - 44 = 180

Explanation:

Step1: Recall the linear - pair angle property

Two angles that form a linear pair are supplementary, i.e., their sum is \(180^{\circ}\). But here, if we assume the non - adjacent angles (using the exterior angle property or just angle - sum in a different context, but for a linear pair of angles adjacent to the given angles, if we consider the straight - line property. However, if we consider the fact that there is no valid relationship among the given equations \(44 = 180+q\) (since \(44<180\)), \(44 + q=90\) (no geometric basis shown in the figure for a right - angle sum here), \(q−44 = 180\) (implies \(q=224\) which is not logical for an angle in a simple geometric figure shown).

Answer:

None of these