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.
x=37
Practice makes perfect
Consider the given diagram.
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. With this in mind, we can find the value of x.
Looking at the diagram, we can see that the angle formed by the intersection of the lines outside the circle measures x^(∘). The measures of the intercepted arcs are 100^(∘) and 26^(∘). With this information, we can write an equation and solve it to find the value of x.
