Answer:
m∠CAD = 49degrees
Step-by-step explanation:
For a rectangle ABCD if m∠BAC=4x+5and m∠ACD=5x−4, then;
m∠BAC = m∠ACD (alternate angles)
4x+5 = 5x - 4
4x-5x = -4-5
-x = -9
x = 9
Also
m∠BAC+m∠CAD = 90
4x+5+m∠CAD = 90
4(9)+5+m∠CAD = 90
36+5+m∠CAD = 90
41+m∠CAD = 90
m∠CAD = 90-41
m∠CAD = 49degrees
