Answer:
[tex]\red{ m\angle B= 121\degree}\\\\\purple{AD=23\: units}[/tex]
Step-by-step explanation:
Quadrilateral ABCD is a parallelogram.
opposite angles of a parallelogram are equal in measure.
[tex]\implies (10x-19)\degree=(9x-5)\degree[/tex]
[tex]\implies 10x-19=9x-5[/tex]
[tex]\implies 10x-9x=19-5[/tex]
[tex]\implies x=14[/tex]
[tex]m\angle B= (9x-5)\degree[/tex]
[tex]\implies m\angle B= (9*14-5)\degree[/tex]
[tex]\implies m\angle B= (126-5)\degree[/tex]
[tex]\huge\implies m\angle B= 121\degree[/tex]
Opposite sides of a parallelogram are equal.
3y - 1 = y + 15
3y - y = 15 + 1
2y = 16
y = 16/2
y = 8
AD = 3y - 1 = 3*8 - 1 = 24 - 1
AD = 23
