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M angle IMJ= help me thank u :)

M Angle IMJ Help Me Thank U class=

Sagot :

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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