If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle.
It follows from the given diagram that:
[tex]m<1=\frac{1}{2}(40^{\circ}+170^{\circ})[/tex]
Simplify the equation to get:
[tex]\begin{gathered} m<1=\frac{1}{2}(210^{\circ}) \\ =105^{\circ} \end{gathered}[/tex]
