What is the measure of angle CED

Option D:

p, because ∠ABC ∠EDC.

Solution:

In ΔABC and ΔDCE,

Vertically opposite angles are congruent.

∠ACB ≅ ∠DCE

∠ABC ≅ ∠EDC

we cannot proceed further,

So ΔABC and ΔDC are not congruent triangles.

By this, Option A, Option B and Option C are false.

In ΔABC and ΔEDC,

Vertically opposite angles are congruent.

∠ACB ≅ ∠DCE (Angle)

∠ABC ≅ ∠EDC (Angle)

By AA similarity ΔACB and ΔDCE similar triangles.

Corresponding parts of similar triangles are congruent.

∠CED = ∠BAC

∠CED = p

Hence option D is the correct answer.

p, because ∠ABC ∠EDC.

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

answer: it's upside down and i can't read it

step-by-step explanation: