Two supplementary angles have measures m∠ABC=105° and m∠CBD=(3x−24)° . What is the equation to solve for x ?

pleae be correct

1 answer

To find the value of x, we can use the fact that the sum of two supplementary angles is 180 degrees.

So, the equation to solve for x is:
m∠ABC + m∠CBD = 180°
105° + (3x - 24)° = 180°

Now, we can solve for x:
105 + 3x - 24 = 180
3x + 81 = 180
3x = 99
x = 33

Therefore, the equation to solve for x is 3x + 81 = 180, and x = 33.