From the diagram, we can see that ∠2 and ∠3 are complementary and, therefore, the sum of their measures is 90^(∘).
m∠2 + m∠3 = 90^(∘)We are told that m∠2=22^(∘) and m∠3 = (x+48) ^(∘). Let's substitute these values into the above equation.
22 ^(∘) + (x+48)^(∘) = 90^(∘)
Now we can substitute these values into our equation and solve for x. Note that to make calculations easier, we can ignore the symbol ^(∘) and add it to the result.
The value of x is 20^(∘). From the diagram, we can see that the angle resulting from the sum of m∠2 and ∠3 is supplementary to ∠1. This means that the sum of their measures is 180^(∘).
m∠1 +(m∠2+m∠3) = 180^(∘)
We are told that m∠1 = (133-y)^(∘) and we know that m∠2+m∠3=90^(∘). Then, we can substitute these values into the above equation and solve the result for y. Again, we can ignore the symbol ^(∘) for the calculations.
