The measure of an angle formed by two lines that intersect outside a circle is half the difference of the measures of the intercepted arcs.
166^(∘)
Practice makes perfect
Consider the given diagram.
We want to find the value of mYXZ. We will start by finding the measure of YVZ. The measure of an angle formed by two lines that intersect outside a circle is half the difference of the measures of the intercepted arcs. The angle formed by the intersection of the lines outside the circle measures 49^(∘). One of the intercepted arcs measures 96^(∘).
With this information we can write an equation and solve it to find the value of mYVZ.
