# geometry

Algebra BD bisects <ABC. Solve for x and find m<ABC.

m<ABD = 4x - 16, m<CBD = 2x + 6

Please teach me how to work this.

1. since BD bisects <ABC, m<ABD = m<DBC

4x-16 = 2x+6
2x = 22
x = 11

m<ABC = m<ABD + m<DBC = 4*11-16 + 2*11+6 = 28+28 = 56

posted by Steve
2. Steve, thank you so much. You explained it so I could understand it.

posted by Jane
3. That's the plan. :-)

posted by Steve
4. in triangle ABC, BD bisects <ABC, <ABD = 4x + 6 and m<DBC = 5x -5. find the m<abc

posted by Arooj
5. 10007

posted by Young thug
6. bisects ∠ABC, m∠ABD = (6x − 8)°, and m∠CBD = (2x + 28)°. What is m∠ABC?

posted by Anonymous

## Similar Questions

1. ### Geometry

line BD bisects angle ABC. Find angle ABD, angle CBD, and angle ABC if angle ABD equals 3x+6 and angle DBC equals 7x-18 please help it would mean a lot
2. ### Geometry

in triangle ABC, BD bisects <ABC, <ABD = 4x + 6 and m<DBC = 5x -5. find the m<abc
3. ### Math

In the figure, -> BD is the angle bisector of <ABC. If <ABD= 3x+2 and m<ABC=7x-6, find the degree measure of <CBD A / B--- D \ C
4. ### Geometry

1. If RST=NPQ, which of the following is true? A) R=P B) R=Q C) T=P D) T=Q <---- My answer 2. Given ABC=PQR, m<B=3v+4, and m<Q=8v-6, find m<B and m<Q. A) 22 B) 11 C) 10 <---- My answer D) 25 3. Which of the
5. ### Geometry

Question:Ray BD bisects <ABC. The m<ABD=5× and m<DBC=3×+10. Find × and m<ABC
6. ### Geometry

Find the,<ABC if the line BD bisects <ABC and given m<ABD = 5x and m<DBC = 3x + 10.
7. ### Geometry

BD bisects ABC m ABC=9x. M ABD= 4x+38. Find m DBC
8. ### Math

BD bisects <ABC. Find m<ABD and m<ABC when BDC= 28
9. ### Geometry

BD bisects angle abc so that m angle abd is x-5 and m angle cbd is 2x-6. find the value of X
10. ### Geometry

Given: segment BD bisects angle ABC; AB=BC. Prove: triangle ABD congruent to triangle CBD

More Similar Questions