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)

1 answer

To find the equation to solve for x, we need to set up the equation:
(x - 6) + (4x - 14) + 5x = 180°.
Now, we can solve for x by combining like terms and simplifying the equation:
10x - 20 = 180°.
Next, we can add 20 to both sides of the equation to isolate the variable:
10x = 200°.
Finally, we divide both sides of the equation by 10 to solve for x:
x = 20°.
So, the equation to solve for x is 10x - 20 = 180°.