Three angles have measures that add to 180°. They have the following angle measures: m∠ABC=(x−6)°, m∠CBD=(4x−14)°, and m∠DBE=5x°. What is the equation to solve for x?(1 point)
To find the equation to solve for x, we need to use the fact that the sum of the angle measures is 180 degrees.
Therefore, we can write the equation as:
m∠ABC + m∠CBD + m∠DBE = 180°
Substituting the given angle measures into the equation, we have:
(x - 6) + (4x - 14) + 5x = 180°
Simplifying the equation:
10x - 20 = 180°
Adding 20 to both sides:
10x = 200°
Dividing both sides by 10:
x = 20°
Therefore, the equation to solve for x is 10x - 20 = 180°.