SOLUTION: If line segment BD is the angle bisector of angle ABC, line segment BE is the angle bisector of angle ABD, and the measurement of angle DBC= 24 degrees, what is the measurement of

Question 341992: If line segment BD is the angle bisector of angle ABC, line segment BE is the angle bisector of angle ABD, and the measurement of angle DBC= 24 degrees, what is the measurement of angle EBC?
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
`
If line segment BD is the angle bisector of angle ABC,
`

`
line segment BE is the angle bisector of angle ABD,
`

`
and the measurement of angle DBC= 24 degrees,
`


Since line segment BD is the bisector of angle ABC, then the measure
of angle ABD is also 24�



and since line segment BE is the angle bisector of angle ABD,
Both angle ABE and EBD have measure 12� each.



Then the angle EBC, indicated by the double blue arcs below,
has measure equal to sum of the measures of its parts,
angle EBD and angle DBC.  The measure of angle EBD is
12� and the measure of angle DBC is 24�, and their sum
is 12�+24� or 36�. So angle EBC has measure 36�.
 


Edwin

RELATED QUESTIONS
ray BD is the bisector of angle ABC. If measure angle ABD = 2x+14 and measure angle CBD = (answered by Fombitz)

If the measure of angle abc is 108, and ray bd is the bisector of angle abc, and ray be... (answered by greenestamps)

BD is the angle bisector of ABC. If ABD= 2x+14 and CBD= 5x-10, what is the measure of... (answered by Fombitz)

Given: line segment MO is the perpendicular bisector of line segment LN. Prove: line... (answered by sachi)

I have to prove that Triangle ABC is isosceles.D is the midpoint at the base. Here is... (answered by scott8148)

I have an image that is a Triangle with a line from the top angle to the middle line on... (answered by KMST)

I was given a triangle, Labeled ABC, which is bisected by line BD, to create two smaller... (answered by lynnlo,solver91311)

I could really use some help. For two angles, angle ABC and angle DBC, m(angle)ABC=30... (answered by Theo)

ABC isosceles and CD is angle bisector of the vertex angle prove that BD = AD Thanks... (answered by jim_thompson5910)