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Find measure of ELF showing all steps pls help

Find measure of ELF showing all steps pls help-example-1

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Answer:

Explanation:

Arcs labeled are intercepted arcs of central angles.

Can find measure of arc LA using 360-72-180-56=52 degrees.

Angle ELF is an angle formed by a chord and a tangent.


m\angle ELF = (1)/(2) \cdot m \overset \frown{EL} \\=(1)/(2)(56+52) = (1)/(2)(108)=54^(\circ)

Find measure of ELF showing all steps pls help-example-1

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