Respuesta :

Answer:

z=5, m<b=66 degrees

Step-by-step explanation:

8z+74+2z+56=180

10z+130=180

10z=50

z=5

Answer:

Step-by-step explanation:

To Find the value of x in this Alternate Interior Angle Relationship..

add [tex]8x+74[/tex] and [tex]2x+56[/tex]

[tex]8x+74+2x+56[/tex] combine like terms

[tex]10x+130=180[/tex]

subtract 130 on both sides

[tex]10x=50[/tex]

divide 10 on both sides

[tex]x=5[/tex]

Now solve for the angle of measure B

∠B=2(5)+56

∠B=10+56

∠B=66°