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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."
A

Feliz is looking at a cyclic quadrilateral EFGH He says Im not convinced that opposite angles of cyclic quadrilaterals always add up to 180 degrees For example class=

Respuesta :

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.

How to find angles of cyclic quadrilateral?

A cyclic quadrilateral is 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,

∠F + ∠H = 180°

∠G + ∠E = 180°

Hence, if we moved ∠G to a different spot on the circle, angle FGH would change but angle FEH will also change to make the two opposite angles supplementary.

Therefore, Felix was wrong.

learn more on cyclic quadrilateral here: https://brainly.com/question/21208662

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