. If BD 1 AC, m/DBE = (2x - 1)°, and
m/CBE = (5x - 42), find the value of x.

Step-by-step explanation:
well, because the 2 lines are intersecting each other at a right angle (90°), the complete angle CBD is 90°.
that means the sum of the sub-angles must be 90° :
DBE + CBE = 90
2x - 1 + 5x - 42 = 90
7x = 133
x = 19