Given: measure of angle D=~ measure of angle F ;
line GE bisects angle DEF
Prove: line DG=~ line FG

=~ is the congruent sign

  1. 👍
  2. 👎
  3. 👁
  1. No one is replying is that the way you have described this problem makes no sense.
    What are angles D and F ?
    if E to G bisects angle DEF then DEG is congruent to FEG

    1. 👍
    2. 👎
  2. Perhaps angle D is angle GDE and angle F is angle GFE?
    If so
    you have two angles the same in the two triangles
    DEG = FEG (bisect of DEF)
    GDE = GFE given
    so DGE = FGE anlges in triangle add to 180, if two are the same so is the third
    EG is common to both triangles
    triangle EDG congruent to EFG angle,side,angle
    your two lines are now corresponding sides in congruent triangles

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. geometry

    ray EC bisects angle BED, The measure of angle AEB equals 11x minus 12.and The measure of angle CED equals 4x plus 1.. Find measure of angle AEC.

  2. Math

    In the figure below angle y and angle x form vertical angles angle y forms a straight line with the 60 degree angle and the 70 degree w Angle Write and solve an equation to determine the measure of angle c

  3. Geometry

    Angle C and Angle D are supplementary angles. If the measure of Angle D is nine less than twice the measure of Angle C, find the measure of Angle D. PLEASE HELP!!! I have no idea where to even start!

  4. la geomotry

    Which biconditional is NOT a good definition? A; An angle is obtuse if and only if its measure is greater than 180.

  1. Math

    Angle 3 and angle 4 form a linear pair. The measure of angle 3 is four more than three times the measure of angle 4. Find the measure of each angle.

  2. Math

    Find the value of x if line QS bisects angle PQR and measure of angle PQR equals 82 degrees. angle PQS=10x+1

  3. Algebra

    One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 10 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.

  4. 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**

  1. Algebra

    I have a pair of supplementary angles, the measure of one angle is 8 times the measure of the other. What is the measure of the larger angle? What is the measure of the smaller angle?

  2. geometry

    if ray bd bisects angle abc measure of angle dbc=79 degrees, and measure of angle abc=9x-4, find the value of x

  3. Geometry

    Angle ABC and ange DBE are vertical angles,the measure of angle ABC =3x+20, and the measure or angle DBE =4x-10. Write and solve an equation to find the measure of angle ABC and the measure of angle DBEin

  4. Math

    The measure of (Angle) A is 4 degrees greater than the measure of (Angle) B. The two angles are complementary. Find the measure of each angle. (I tried 41+45 but that didn't work out, anyone got any steps to solve this?)

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