Feliz is looking at a cyclic quadrilateral EFGH. He says, "I'm not convinced that opposite
angles of cyclic quadrilaterals always add up to 180 degrees. For example, if we moved
point G to a different spot on the circle angle FGH would change but angle FEH would still
be 66 degrees. These angles would no longer add up to 180 degrees."

Question

10-06-2022
Mathematics

contestada

Feliz is looking at a cyclic quadrilateral EFGH. He says, "I'm not convinced that opposite
angles of cyclic quadrilaterals always add up to 180 degrees. For example, if we moved
point G to a different spot on the circle angle FGH would change but angle FEH would still
be 66 degrees. These angles would no longer add up to 180 degrees."

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vintechnology vintechnology · Answer 1 · 2022-06-14T17:16:51+02:00

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.

What is a cyclic quadrilateral?

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.

learn more on cyclic quadrilateral here: https://brainly.com/question/27884509

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