Answer:
The difference between m∠C and m∠A = 44.76°
Step-by-step explanation:
In ΔABC
∵ AC is the hypotenuse
∴ m∠B = 90°
∵ AC = 13 cm , BC = 5 cm
By using the trigonometry functions
∴ cos∠C = 5/13
∴ m∠C = [tex]cos^{-1} \frac{5}{13}[/tex] = 67.38°
∵ m∠A + m∠C = 90
∴ m∠A = 90 - 67.38 = 22.62
∴The difference between m∠C and m∠A = 67.38 - 22.62 = 44.76°
