Why must angle JHL equal angle GHI?

Where G and I are the centers of 2 circles, K and H are the intersections of those cirlces, J and L are each on a circle, and line JL passes through K.

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GHI
0 0 360
calculated angle JHL

Drag point L and adjust the value of angle GHI and see what happens.

App generated by Geometry Expressions

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