1 Answer

Cweinberger · Answer 1 · 2022-01-25T00:00:51+0000

Answer:

110°

Explanation:

$m\angle 1 + m\angle 2 = 180\degree$

(linear pair angles)

$100\degree + m\angle 2 = 180\degree$

$m\angle 2 = 180\degree- 100\degree$

$m\angle 2 = 80\degree$

$\because m\widehat {AB} =m\angle 2$

(Measure of the minor arc is equal to the corresponding central angle)

$\therefore m\widehat {AB} = 80\degree$

$\because m\widehat {AC} =m\widehat {AB} +m\widehat {BC}$

(By arc sum property)

$\therefore m\widehat {AC} = 80\degree+30\degree$

$\huge \red {\boxed {\therefore m\widehat {AC} = 110\degree}}$

Please log in or register to add a comment.