Answer: The value of x = 11
Step-by-step explanation:
Given : ∠XWZ = 90°
From the picture it can be seen that ∠XWY = (5x+5)° and ∠WYZ=(2x+8)°
And ∠XWY+ ∠WYZ=90°
[tex]\Rightarrow\ (2x+8)^{\circ}+(5x+5)^{\circ}=90^{\circ}\\\\\Rightarrow\ 2x+8+5x+5=90\\\\\Rightarrow\ 7x+13=90\\\\\Rightarrow\ 7x=90-13\ \ \ \text{[Subtract 13 both sides]}\\\\\Rightarrow\ 7x=77\\\\\Rightarrow\ x=\dfrac{77}{7}=11\ \ \ \ \text{[Divide 7 both sides]}[/tex]
Hence, the value of x = 11
