Question

Given: BC bisects EBA. m EBC = 62°.

Sketch a picture of this situation, then use your picture to find each angle measure.
Draw and label a picture (required)
Find each angle measure.
(No work needs to be shown.)
m2 EBC = 62°
mZEBA =
m2 CBA =

Answer 1

m∠EBC = 62°

m∠EBA = 124°

m∠CBA = 62°

Explanation:

It's given in the question that a line BC bisects angle EBA.

And m∠EBC = 62°

Since, BC is an angle bisector of ∠EBC,

Therefore, m∠EBC = m∠CBA = 62°

Since, m∠EBA = 2(m∠EBC)

Therefore, m∠EBA = 2 × 62° = 124°