The measure of the angle DFH using the given diagram is 43°
Secant lines in a circle
Theorem : Angle formed by 2 secant is equal to the half of the difference between the intercepted arcs.
From the given diagram , angle formed by 2 secant lines is angle DFH
[tex]m < DFH=\frac{1}{2}(arc DH-arcEG)[/tex]
From the given diagram, the arc DH is 133 and arc EG = 47
[tex]m < DFH=\frac{1}{2} (133-47)\\m < DFH=\frac{1}{2} (86)\\\\m < DFH=43\\[/tex]
The measure of DFH is equal to 43 degrees
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