Three angles have measures that add to 180 degrees. They have the following angle measures m ABC=(x-6) degrees, m CBD= (4x-14 degrees, and m DBE=5x degrees. what is the equation to solve for x?
The equation to solve for x can be set up by using the fact that the measures of the three angles together add up to 180 degrees.
m ABC + m CBD + m DBE = 180 degrees
Substituting the given measures:
(x - 6) + (4x - 14) + 5x = 180
Simplifying:
10x - 20 = 180
10x = 200
Dividing both sides by 10:
x = 20
Therefore, the equation to solve for x is:
10x - 20 = 180