Question

If BE−→− bisects ∠ABD and m∠EBD = 32°, find m∠ABD.

Answer 1

Check the picture below.

Answer 2

`m\angle ABD=64^(\circ)`

Explanation:

We have been given that segment BE bisects
`\angle ABD` and
`m\angle EBD=32^(\circ)`. We are asked to find the measure of angle ABD.

Since BE is angle bisector of angle ABD, so measure of angle EBD will be equal to measure of angle ABE.

The measure of angle ABD will be 2 times the measure of angle EBD.

`m\angle ABD=2* m\angle EBD`

`m\angle ABD=2* 32^(\circ)`

`m\angle ABD=64^(\circ)`

Therefore, the measure of angle ABD is 64 degrees.