Classification: Complementary angles. Value of x: 28
First, let's take a look at the given diagram.
Because the angles in the diagram make up a right angle, we know that they are complementary angles. Since the angles are complementary, we know that the sum of their measures should equal 90^(∘). With this in mind, we can create an equation.
(x+6)^(∘) + 56^(∘) = 90^(∘)
Let's solve this equation for x. We can remove the degree sign to make calculations easier.
