Answer:
[tex]B = 105[/tex]
Step-by-step explanation:
Given
[tex]A = 75[/tex]
Required
Find B
If A and B are consecutive interior angles, then
[tex]A + B = 180[/tex]
Substutute 75 for A
[tex]75 + B = 180[/tex]
[tex]-75+75 + B = 180 - 75[/tex]
[tex]B = 105[/tex]