Question

Geometry help please?




G is the incenter of Δ ABC.
m∠A = 58
m∠B = 64
m∠C = 58

What is the m∠BCE?

36

27

32

29

Answer 1

picture ina sec

Answer 2

How do I solve this?

Answer 3

that can't be right i ended up with 119 :l

Answer 4

What do you know about incenters?

Answer 5

m∠A = 58
m∠B = 64
m∠C = 58

The triangle has it's 3 Medians marked(D,E,F).
A median cut's exactly half way from a vertex to the opposite side... It bisects the line segment and angle.
So angle BCE would be half of angle C's measurement.

Answer 6

its 29?

Answer 7

Yes.

Answer 8

yea because it wants angle c... And C is bisected so its halfed

Answer 9

i think angle at C is getting bisect.. which means its dividing the angle in half.. so just half the angle of C

Answer 10

which is 29

Answer 11

Exactly. :D

Answer 12

thanks guys :)

Answer 13

welcome (:

Answer 14

yea it was 29 I just sent my quiz

Answer 15

@jazy, the incenter is the intersection of the angle bisectors. The medians are not involved.
"A median cut's exactly half way from a vertex to the opposite side... It bisects the line segment and angle." This statement is false.

Answer 16

http://www.icoachmath.com/image_md/Median%20of%20a%20Triangle1.jpg

Answer 17

yes incenter is the bisectors and circumcenter is the perpandicular bisectors. I do not know where the medians are involved

Answer 18

what is the median of a triangle?

Answer 19

A median bisects a side of the triangle, but it doesn't necessarily also bisect the angle.

Answer 20

In triangle ABC (that I drew), AN is an angle bisector and passes through the incenter of the triangle. CM is a median and makes AM = MB. It is not also an angle bisector of ACB. ACM =/= MCB.

Answer 21

lagged

Answer 22

correction to the drawing.

Answer 23

I see so it intersects at the middle of a line but doesnt always bisect

Answer 24

Medians bisect sides. The three medians intersect at the centroid.
Angle bisectors bisect angles. The three angle bisectors intersect at the incenter.

Answer 25

alright i got yea

Answer 26

Play around over here for a while http://www.mathopenref.com/triangleincenter.html
@jazy you too.

Answer 27

k, thanks for the explanation @CliffSedge (: