The chords divide the circumference into four arcs. Two of the arcs have a measure of 110^(∘) and the other two measure x^(∘). Note that these arcs are adjacent arcs. Let's recall the Arc Addition Postulate.
Arc Addition Postulate
The measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcs.
Since the arc formed by these four adjacent arcs is the circumference, the sum of their arc measures is 360.
110+ x+ 110+ x=360
Let's solve this equation.
