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
A 9x - 20=180
B 10x + 20=180
C 10x - 20=180
D x - 20=180
The equation to solve for x is:
(x−6)° + (4x−14)° + 5x° = 180°
Simplifying the equation:
x - 6 + 4x - 14 + 5x = 180
Combining like terms:
10x - 20 = 180
So, the equation to solve for x is:
C) 10x - 20 = 180.