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.

asked by Jane
  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

Respond to this Question

First Name

Your Response

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