Answer:
m CAD is 41°
Step-by-step explanation:
The angles in a rectangle are 90 degrees each as the sides are perpendicular. A such, given that mzBAC = (4x + 5)º and m CAD = (5x - 14)°, then
4x + 5 + 5x - 14 = 90
Rearrange the equation
4x + 5x + 5 - 14 = 90
9x - 9 = 90
Collect like terms
9x = 90 + 9
9x = 99
Divide both sides by 9
x = 99/9
= 11
Recall that m CAD = (5x - 14)°
Substitute the value of x into the expression
Hence
m CAD = (5*11 - 14)°
= (55 - 14)°
= 41°
