Answer: m<XVY = 82°
Step-by-step explanation: The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs.
Since the measures of the intercepted arcs are 86° and 78°,
we can setup the equation m<XVY = 1/2(86 + 78).
So we get m<XVY = 1/2(164) or m<XVY = 82°
