Two supplementary angles have measures m∠ABC=105° and m∠CBD=(3x−24)°. What is the equation to solve for x?
(3x−24)°+__°= __°
To find the equation to solve for x, we need to use the fact that the two angles are supplementary, which means they add up to 180°.
So, we have:
105° + (3x - 24)° = 180°
To solve for x, we can simplify the equation by combining like terms:
3x - 24 + 105 = 180
3x + 81 = 180
Next, we can isolate the variable by subtracting 81 from both sides of the equation:
3x = 180 - 81
3x = 99
Finally, we can solve for x by dividing both sides of the equation by 3:
x = 99/3
x = 33