Question

1. in the polygon pictured, which angles are supplementary? c° and d° g° and f° a° and k° c° and i°

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180°.

Step2: Analyze each option

• For \(c^{\circ}\) and \(d^{\circ}\), they are adjacent angles on a straight - line segment. So \(c + d=180^{\circ}\) since they form a linear pair.
• For \(g^{\circ}\) and \(f^{\circ}\), they are not adjacent in a way that forms a linear pair.
• For \(a^{\circ}\) and \(k^{\circ}\), they are not related in a way to sum up to 180°.
• For \(c^{\circ}\) and \(i^{\circ}\), they are not related in a way to sum up to 180°.

Answer:

c° and d°