In each diagram, BD bisects

26. ∠ABC=44

27. ∠ABC=86

28. ∠ABC=116

Step-by-step explanation:

Since BD bisects ∠ABC in each diagram, ∠ABD=∠DBC.

26.

∠ABD=∠DBC

5x+2=7x-6

2x=8

x=4

∠ABC=∠ABD+∠DBC

=5(4)+2+7(4)-6

=20+2+28-6

=44

27.

∠ABD=∠DBC

11x-12=8x+3

3x=15

x=5

∠ABC=∠ABD+∠DBC

=11(5)-12+8(5)+3

=55-12+40+3

=86

28.

∠ABD=∠DBC

9x-23=5x+13

4x=36

x=9

∠ABC=∠ABD+∠DBC

=9(9)-23+5(9)+13

=81-23+45+13

=116

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.