angle of intersecting secants
Check the final answer first, then review the worked steps.
Problem
angle of intersecting secants
Step-by-step solution
The angle formed by two secants intersecting outside a circle is half the difference of the intercepted arcs. Let $m\angle V = \frac{1}{2}(m\text{arc } TU - m\text{arc } RS) = \frac{1}{2}(120^\circ - 12^\circ) = \frac{108^\circ}{2} = 54^\circ$.
Answer
54^\circ