Question

quadrilateral abcd is inscribed in this circle. what is the measure of \\( \angle a \\)? enter your answer in the box. \\( \square \square ^ { \circ } \\)

Explanation:

Step1: Recall the property of cyclic quadrilaterals

In a cyclic quadrilateral, the sum of opposite angles is \(180^{\circ}\). So, \(\angle A+\angle C = 180^{\circ}\).

Step2: Solve for \(\angle A\)

Given \(\angle C=121^{\circ}\). Then \(\angle A=180^{\circ}-\angle C\). Substitute \(\angle C = 121^{\circ}\) into the formula: \(\angle A=180 - 121\).

Answer:

\(59\)