Question

If m∠XWZ = 90, what is x?

Answer 1

Answer: The value of x = 11

Explanation:

Given : ∠XWZ = 90°

From the picture it can be seen that ∠XWY = (5x+5)° and ∠WYZ=(2x+8)°

And ∠XWY+ ∠WYZ=90°

`\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=(77)/(7)=11\ \ \ \ \text{[Divide 7 both sides]}`

Hence, the value of x = 11

Answer 2

X=11

Explanation:

(5x+5)+(2x+8)=90

combine like terms

7x+13=90

subtract 13 from both sides

7x=77

divide 7 on both sides

x=11

check work

(5(11)+5)+(2(11)+8)=90