Question

which pair of angles add up to 180 degrees? c and x a and w a and g d and x

Explanation:

Step1: Recall the property of supplementary angles

Supplementary angles add up to \(180^{\circ}\).

Step2: Analyze each option

• For “C and X”:

Assume the lines are such that \(C\) and \(X\) are supplementary (based on the figure's angle - line relationships, if \(C\) and \(X\) form a linear - pair or are related by parallel lines and transversals in a way that their sum is \(180^{\circ}\)).

• For “A and W”:

If \(A\) and \(W\) are not in a linear - pair or related by angle - sum properties for \(180^{\circ}\) (e.g., if they are vertical angles or alternate - interior angles which do not sum to \(180^{\circ}\) in general).

• For “A and G”:

If \(A\) and \(G\) are not in a linear - pair or related by angle - sum properties for \(180^{\circ}\) (e.g., if they are not adjacent angles on a straight line or related by parallel - line angle relationships for \(180^{\circ}\) sum).

• For “D and X”:

If \(D\) and \(X\) are not in a linear - pair or related by angle - sum properties for \(180^{\circ}\) (e.g., if they are not adjacent angles on a straight line or related by parallel - line angle relationships for \(180^{\circ}\) sum).

Answer:

A. C and X