Question

I need help answering this question

Answer 1

Answer:

$x = 7$

Step-by-step explanation:

Given that AB and BC are perpendicular, it follows that:

m<ABC = right angle = 90°

Thus:

$75 + (x + 8) = 90$ (angle addition postulate)

Solve for x

$75 + x + 8 = 90$

$83 + x = 90$

Subtract 83 from each side

$83 + x - 83 = 90 - 83$

$x = 7$