Three angles have measured that add to 180° they have the following angle measures M angle ABC equals X minus 6M angle CBD equals 4X -14 and M angle DBE equals 5X what is the equation to solve for X
To find the value of X, you can set up an equation using the fact that the sum of the three angles equals 180°.
M angle ABC + M angle CBD + M angle DBE = 180°
Given:
M angle ABC = X - 6
M angle CBD = 4X - 14
M angle DBE = 5X
Substituting these values into the equation:
(X - 6) + (4X - 14) + (5X) = 180°
Now, simplify and solve for X:
Combine like terms: X + 4X + 5X - 6 - 14 = 180°
Combine like terms: 10X - 20 = 180°
Add 20 to both sides: 10X = 200°
Divide both sides by 10: X = 20°
Therefore, the equation to solve for X is 10X - 20 = 180°, and X = 20°.