Answer
$50^{\circ}$
Work Step by Step
The measure of each arc is equal to $\dfrac{360^{\circ}}{18}=20^{\circ}$
The angle formed by two chords can be computed as:
$w=\dfrac{1}{2}[(2)(20)+(3)(20)]=50^{\circ}$
where $w$ measures the angle that intercepts two arcs.
