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 ?
To find the equation to solve for x, we can add up the measures of the three angles and set the sum equal to 180°:
(x - 6)° + (4x - 14)° + 5x° = 180°
Simplifying the equation, we combine like terms:
x - 6 + 4x - 14 + 5x = 180
10x - 20 = 180
Next, we can add 20 to both sides of the equation:
10x = 200
Finally, we divide both sides of the equation by 10 to solve for x:
x = 20
Therefore, the equation to solve for x is 10x - 20 = 180.