We want to find the value of x. From the given diagram, we know that the sum of 18^(∘) and ∠WJZ is 90^(∘).
18^(∘) + ∠WJZ = 90 ^(∘)
We can solve this equation for ∠WJZ to find the measure of ∠WJZ.
We found that ∠WJZ=72 ^(∘). From the diagram, we can also see that (9x)^(∘) and ∠WJZ are vertical angles. Then, they have the same measure.
9x=72^(∘)
Let's solve this equation for x. Note that to make calculations easier, we can ignore the symbol ^(∘) and add it to the result.
