Question

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 1

ABC = 44°

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°