Answer:
Step-by-step explanation:
Given
Required
Determine the measure of each angle
The angles in a triangle sum up t 180. i.e.
Since , then 
can then be rewritten as:
Substitute values for B and C
Open Bracket
Collect Like Terms
Divide both sides by 23
To get the measure of each angle, substitute 11 for x in the expressions of B, C and D
BE is parallel to CD, therefore, m∠BEC=m∠ECD, therefore mBC=mDE
BE is the diameter, so Arc BE is 180 degree
mBC+mCD+mDE=180
replace mCD with 3mBC, and replace mDE with mBC: mBC+3mBC+mBC=180
5mBC=180
mBC=180/5=36
mCD=3mBC=3*36=108
the inscirbed angle m∠ECD= the measure of arc DE=36
Answer:
14
Step-by-step explanation:
