In the diagram below, m = 96 and m = 114. what is the measure of
jpm?

When there are two chords intersecting inside of a circle, there are four angles that are formed from this intersection. At the intersection, there are two sets of congruent vertical angles formed. 

Angle Formed by Two Chords = 1/2(Sum of the Intercepted Arcs)

m<JPM = 1/2 (114 + 96)  = 1/2 (210) = 105

A ) 105

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since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.