Three angles have measures that add to 180°

Question

. 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)
Responses

10x°+20°=180°
10 x plus 20 equals 180
x°−20°=180°
x minus 20 equals 180
10x°−20°=180°
10 x minus 20 equals 180
9x°−20°=180°

Answer 1

None of the provided responses are the correct equation to solve for x.

The correct equation to solve for x in this scenario is:

(x-6) + (4x-14) + 5x = 180

Answer 2

simplify

Answer 3

To simplify the equation (x-6) + (4x-14) + 5x = 180, combine like terms:

10x - 20 = 180

Then, isolate the variable x:

10x = 200

Finally, solve for x by dividing both sides of the equation by 10:

x = 20

Therefore, the value of x is 20.