What is the measure of an angle formed by is half the sum of the measures of the intercepted arcs.?

The measure of an angle formed by two intersecting chords in a circle is equal to half the sum of the measures of the intercepted arcs. This means that if two arcs, ( A ) and ( B ), are intercepted by the angle, the angle's measure can be calculated using the formula: ( \text{Angle} = \frac{1}{2} (mA + mB) ), where ( mA ) and ( mB ) are the measures of the intercepted arcs. This relationship helps in solving various problems involving angles and arcs in circle geometry.