# Where's the Letter C?

Geometry Level 4

We have a quadrilateral $$DEFG$$ inscribed in a semicircle with center $$H$$ such that point $$G$$ is on the diameter $$AB$$ of the semicircle and at the same time line $$FG$$ is perpendicular to $$AB$$. Suppose that $$2FG=DE=EF$$. Find the measure of $$\angle GDE$$ in degrees.

• Image Credit: Sir Trevor Arashiro

• The picture is only there to aid you, not all the letters are placed there

• Point $$D$$ coincides with either Point $$A$$ or $$B$$

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