Question

find the value of x.

Explanation:

Step1: Recall the formula for the angle formed by two chords

The measure of an angle formed by two intersecting chords is $\frac{1}{2}$ the sum of the measures of the intercepted arcs. So, $x=\frac{1}{2}(85 + 145)$.

Step2: Calculate the sum of the arcs

First, find the sum of the intercepted arcs: $85+145 = 230$.

Step3: Calculate the value of \(x\)

Then, find half of that sum: $x=\frac{230}{2}=115$.

Answer:

\(115\)