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What is the measure of our EF in circle H?

What is the measure of our EF in circle H?-example-1

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check the picture below.

by the "inscribed quadrilateral conjecture", we know that angles at G and E are supplementary angles, namely they add up to 180°, and by the "inscribed angle theorem", we know that the arcDEF is 2(57).
What is the measure of our EF in circle H?-example-1
User Knase
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