Question
Two supplementary angles have measures m LABC = 105° and mLCBD = (3x - 24)°. What is the equation to solve for x?
Answers
GPT 3.5
Since the angles are supplementary, their measures add up to 180 degrees.
So, the equation to solve for x is:
105 + (3x - 24) = 180
Simplify the equation:
3x - 24 + 105 = 180
3x + 81 = 180
Now, solve for x:
3x = 180 - 81
3x = 99
x = 99 / 3
x = 33
Therefore, the solution is x = 33.
So, the equation to solve for x is:
105 + (3x - 24) = 180
Simplify the equation:
3x - 24 + 105 = 180
3x + 81 = 180
Now, solve for x:
3x = 180 - 81
3x = 99
x = 99 / 3
x = 33
Therefore, the solution is x = 33.