The value of the angle ∠IMJ using angles of Intersecting Chords Theorem is; 62.5°
How to find the angle of intersecting chords?
From the given image, we see that;
mIJ = 40°
mLK = 85°
Now from angles of Intersecting Chords Theorem, we know that If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle. Thus;
∠IMJ = ¹/₂(mIJ + mLK)
∠IMJ = ¹/₂(40+ 85)
∠IMJ = 62.5°
Read more about Intersecting chords at; https://brainly.com/question/13950364
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