The angles ∠ BXC, ∠ CXD, and ∠ DXE are supplementary.
x=6
Practice makes perfect
Let's add the given measurements to the diagram.
The angles ∠ BXC, ∠ CXD, and ∠ DXE are supplementary. This tells us that the sum of their measures is 180^(∘). Thus, we can add the given measures and set the sum equal to 180^(∘).
90+( 6x-13)+( 10x+7)=180
We can solve this equation for x.
