If the angle G is moved to a different spot in the circle the angle FGH and angle FEH in the cyclic quadrilateral will change to make it supplementary.
<h3 /><h3>What is a cyclic quadrilateral?</h3>
A cyclic quadrilateral is quadrilateral inscribed in a circle. It has all its vertices on the circumference of the circle.
Opposite angles in a cyclic quadrilateral are supplementary angles. That means they add up to 180 degrees.
Therefore, if he adjust point G to a different spot on the circle, angle FGH and FEH will adjust to become supplementary.
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we know that
An equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is equal to 60 degrees)
see the attached figure to better understand tyhe problem
Let
h ----> the height of an equilateral triangle
b ---> the length side of an equilateral triangle
In the right triangle ABD
Applying the Pythagorean Theorem

substitute the given values

square root both sides
Answer:
point t
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