Question

I need help answering this question

Answer 1

`x = 7`

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`