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 ?
Responses:
A. 10x° - 20° = 180°
B. x° - 20° = 180°
C. 9x° - 20° = 180°
D. 10x° + 20° = 180°
The three angles add up to 180°, so we can write the equation:
(x-6) + (4x-14) + (5x) = 180°
Simplifying the equation:
10x - 20 = 180°
Therefore, the correct equation to solve for x is:
D. 10x° + 20° = 180°