angle formed by intersecting chords in a circle
Check the final answer first, then review the worked steps.
Problem
angle formed by intersecting chords in a circle
Step-by-step solution
The angle formed by two chords intersecting inside a circle is half the sum of the measures of the intercepted arcs: $\angle XYZ = \frac{1}{2}(m\text{arc } XZ + m\text{arc } VW) = \frac{1}{2}(86^\circ + 44^\circ) = \frac{1}{2}(130^\circ) = 65^\circ$.
Answer
65^\circ