Question

BE bisects <ABC. m<ABE=44. Find m<CBE.

Select one
O a 440
O b. 220
O c. 880
O d. Not enough information to answer​

Answer 1

The measure of ∠CBE is 44° ⇒ a

Explanation:

The bisector of any angle divides the angle into two congruent angles (two angles equal in measures)

∵ BE bisects ∠ABC

∴ BE divides ∠ABC into two angles, ∠ABE and ∠CBE

→ By using the rule above

∵ ∠ABE ≅ ∠CBE

∴ m∠ABE = m∠CBE

∵ m∠ABE = 44°

∵ m∠ABE = m∠CBE

∴ m∠CBE = 44°

∴ The measure of ∠CBE is 44°