m<ABC =(x-6) m<CBD = (4x-14) and m <DBE=5x. What is the equation to solve for x ?
To solve for x, we need to set up an equation using the given angle measurements.
Since triangles ABC and CBD are adjacent, their angle measurements of ABC and CBD must sum up to 180 degrees.
Therefore, we have:
m<ABC + m<CBD = 180 degrees
Substituting the given measurements, we have:
(x - 6) + (4x - 14) = 180
Combining like terms, we get:
5x - 20 = 180
Adding 20 to both sides:
5x = 200
Dividing both sides by 5:
x = 40
Therefore, the equation to solve for x is 5x - 20 = 180.