In the figure below , m angle ABD=96^ m angle EBD=26^ , and overline BE bisects angle CBD . Find m angle ABC
PLEASE HELP SHOW WORK
Answer:
ABC = 44°
Step-by-step explanation:
ABD = 96° and EBD = 26°
Since BE bisects CBD, this means that BE cuts the angle in half, so:
CBE = 26° EBD = 26°
Add these two angles and subtract from the entire angle of ABD:
ABD - (CBE + EBD) = ABC
96° - (26° + 26°) = ABC
96° - 52° = 44°
ABC = 44°