Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary? Quadrilateral CDEF is inscribed in circle A, so m arc CDE + m arc CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are _. So, _. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.

A) twice the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CDE = m∠CDE

B) twice the measure of their intercepted arcs; marc CDE= 2 ⋅ m∠CFE and arc CFE = 2 ⋅ m∠CDE

C) one half the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE

D) one half the measure of their intercepted arcs; 2 ⋅ m arc CDE= m∠CFE and 2 ⋅ arc CFE= m∠CDE

C) one half the measure of their intercepted arcs; m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE

Step-by-step explanation:

Quadrilateral CDEF is inscribed in circle A, so:

m arc CDE + m arc CFE= 360°.

∠CFE and ∠CDE are inscribed angles, which means that their measures are one half the measure of their intercepted arcs.

So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE.

Using the substitution property of equality:

2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°.

Using the division property of equality, divide both sides of the equation by 2, resulting in:

m∠CFE + m∠CDE = 180°.

Therefore, ∠CFE and ∠CDE are supplementary.

The correct option is C.

inscribed angles; one half the measure of their intercepted arcs

Step-by-step explanation:

i took the flvs test :)

black lol

step-by-step explanation:

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i can tell you jamal now has 3 cookies xd

tommy has 2.

this made me lol.

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !