Question

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

Answer 1

To solve for x, we can set up an equation using the fact that the sum of the angle measures is 180°.

m∠ABC + m∠CBD + m∠DBE = 180°

((x-6)°) + ((4x-14)°) + (5x°) = 180°

Simplifying the equation:

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

10x - 20 = 180

Next, we can solve for x:

10x = 200

x = 20

Therefore, the equation to solve for x is 10x - 20 = 180.