Question

Could anyone help me out, it’s would mean a lot.

Answer 1

`x = 19`

Explanation:

If two lines are perpendicular, they create 4 90° angles. Meaning, in this case, that m<DBC = 90 and m<DBA = 90.

We're given that m<DBE = 2x - 1 and that m<CBE = 5x - 42.

The sum of angles DBE and CBE = m<DBC = 90°

We can add the two angles and set it equal to 90 to find x

`2x - 1 + 5x - 42 = 90\\7x - 43 = 90\\7x = 133\\x = (133)/(7) =19`