### Home > INT2 > Chapter 11 > Lesson 11.2.1 > Problem 11-57

11-57.

In problem 11-33, you used the relationship between the segment lengths formed by intersecting chords to calculate a missing length. But how are the measures of arcs intercepted by two intersecting chords related? Examine the diagram at right.

Solve for

andusing what you know about inscribed angles and the sum of the angles of a triangle.and ,, andCompare the result for

withand . Is there a relationship? Find the average of the two arc lengths.