The answer is triangle PRQ is similar to triangle XWY because the order of the angles correspond with the angles that have the same angle measurement. Angle p is the first one and has a measure of 86. Angle x is the first one and also has a measure of 86 and so on. They are similar because AAA is not a postulate that can prove congruency. This means that 2 triangles can have the same angle measurements and different side lengths. However, triangles with all of the same angles are similar.
X is 50. The lengths of the radii extending out from the center to the chords are the same length, therefore, the chords are the same distance from the center and have the same measure.
