Question

PLEASE SOMEONE HELP. I’m FAILING MATH . WILL NAME BRAINLIEST AND ITS WORTH 30 points!!

Answer 1

I don’t really understand this put a person with genius role is answering so i hope you get your answer! goodluck

Answer 2

Answer:

See below

Step-by-step explanation:

$m\angle ABC = 2\times m\angle AEC = \boxed {60} \degree$

(By inscribed angle theorem)

$m\widehat{AC} = m\angle ABC = 60\degree$

(Central angle and its corresponding arc theorem)

$m\widehat {DC} = 180\degree - (60\degree + 80\degree)$

$m\widehat {DC} = 40\degree$

$m\angle DBC = m\widehat {DC} = \boxed {40} \degree$

(Central angle and its corresponding arc theorem)

$m\angle ACE = \boxed {90} \degree$

(Angle inscribed in a semicircle)

$m\angle DAE = \frac{1}{2}\times 80\degree = \boxed {40}\degree$

(By inscribed angle theorem)

$m\angle ADE = \boxed {90}\degree$

(Angle inscribed in a semicircle)

$m\angle FCB = \boxed {90}\degree$

(By tangent radius theorem)

$m\angle CED = \frac{1}{2}\times 40\degree = \boxed {20} \degree$

(By inscribed angle theorem)