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.
