Point X is on side \overline{AC} of \triangle ABC such that \angle AXB =\angle ABX, and \angle ABC - \angle ACB = 39 degrees. Find \angle XBC in degrees.

  1. 👍
  2. 👎
  3. 👁
  1. I have the same question! will someone please answer it by today

    1. 👍
    2. 👎
  2. i need it too

    1. 👍
    2. 👎
  3. need this too please help!

    1. 👍
    2. 👎
  4. Please remember that you can't just ask for the answers, you need to provide some steps you already got and what steps you can't solve. But here, I will just show you guys the steps and you can get the answer easily.

    Since angle AXB = angle ABX, we have angle XBC = angle ABC - angle ABX = angle ABC - angle AXB. angle AXB is an exterior angle of triangle XBC, so angle AXB = angle C + angle XBC. Therefore, we have angle XBC = angle ABC - (angle C + angle XBC), so 2 angle XBC = angle ABC - angle C = 39°. Thus, angle XBC = ?.

    ? is the part where you need to solve by yourself.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. geometry

    measure of angle ABC=4x-12 measure of angle ABX=24 BX bisects ABC solve for X and find the measure of angle ABC **page 48 # 11 of prentice hall,california geometry**

  2. Math

    1. Name a pair of complementary angles. (1 point) 1 and 4 1 and 6 3 and 4 4 and 5 2. If m1=37°, what is m4? (1 point) 53° 43° 37° 27° 3. If m1 = 40°, what is m5? (1 point) 50° 40° 35° 25° Use the figure to answer

  3. math

    4. Name a pair of corresponding angles. (1 point) 1 and 6 2 and 6 3 and 5 4 and 5 5. if m

  4. geometry

    In ∠ABC, BX−→− is in the interior of the angle, m∠ABX is 12 more than 4 times m∠CBX, and m∠ABC=92°

  1. mathematics

    In triangle $ABC,$ angle bisectors $\overline{AD},$ $\overline{BE},$ and $\overline{CF}$ meet at $I.$ If $DI = 3,$ $BD = 4,$ and $BI = 5,$ then compute the area of triangle $ABC.$

  2. Geometry 10

    Triangle ABC is extended to point D Angle CAB =x+40 Angle ACB = 3x +10 angle CBD = 6x what is measure of angle CAB? I can get angles inside triangle to equal 180 but when I check for the extended point it does not add up to

  3. math

    Points $D$, $E$, and $F$ are the midpoints of sides $\overline{BC}$, $\overline{CA}$, and $\overline{AB}$, respectively, of $\triangle ABC$. Points $X$, $Y$, and $Z$ are the midpoints of $\overline{EF}$, $\overline{FD}$, and

  4. Math

    In a triangle ABC, with angles A, B, and C and sides AB, BC, and AC, angle B is a right (90°) angle. If the sin of angle A is 0.5 and side BC is 8 inches long, what is the length of side AC?

  1. algebra

    If the measure of angle ABX= 5x and the measure of angle XBC= 3x+10, find the measure of angle ABC. (Solve for x first!)

  2. Math,geometry

    Point $P$ is on side $\overline{AC}$ of triangle $ABC$ such that $\angle APB =\angle ABP$, and $\angle ABC - \angle ACB = 39^\circ$. Find $\angle PBC$ in degrees.

  3. geometry

    Equilateral triangle ABC and isosceles triangle DBC share side BC. If angle BDC= 34 and BD=BC, what is the measure of angle ABD? I don't know how to solve this questions, can someone guide me through?

  4. MATH

    Use the figure to answer the following questions. figure for questions 1–3 1. Name a pair of complementary angles. (1 point) angle sign1 and angle sign4 angle sign1 and angle sign2 angle sign3 and angle sign4 angle sign1 and

You can view more similar questions or ask a new question.