If m∠XWZ = 90, what is x?

Mathematics

2 answers:

o-na [289]3 years ago

8 0

Answer:

X=11

Step-by-step 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

Oksanka [162]3 years ago

8 0

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°

$\Rightarrow\ (2x+8)^{\circ}+(5x+5)^{\circ}=90^{\circ}\\\\\Rightarrow\ 2x+8+5x+5=90\\\\\Rightarrow\ 7x+13=90\\\\\Rightarrow\ 7x=90-13\ \ \ \text{[Subtract 13 both sides]}\\\\\Rightarrow\ 7x=77\\\\\Rightarrow\ x=\dfrac{77}{7}=11\ \ \ \ \text{[Divide 7 both sides]}$

Hence, the value of x = 11

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