Answer:
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
