angle formed by intersecting chords
Check the final answer first, then review the worked steps.
Problem
angle formed by intersecting chords
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: $\angle XYZ = \frac{1}{2}(m\text{arc } VW + m\text{arc } XZ) = \frac{1}{2}(55^\circ + 17^\circ) = \frac{1}{2}(72^\circ) = 36^\circ$.
Answer
36^\circ