Two supplementary angles have measures m∠ABC=105° and m∠CBD=(3x−24)° . What is the equation to solve for x ? (1 point) solve the equation also
Since angles ABC and CBD are supplementary angles, their measures add up to 180 degrees. The equation to solve for x is:
105 + (3x - 24) = 180
Simplifying the equation:
3x + 81 = 180
Subtracting 81 from both sides of the equation:
3x = 99
Dividing both sides of the equation by 3:
x = 33
Therefore, the solution is x = 33.
the format for the answer is (3x-24) + BLANK = BLANK
Apologies for the confusion. Let me restate the equation in the correct format:
(3x - 24) + 105 = 180
Now we can simplify and solve for x:
3x - 24 + 105 = 180
3x + 81 = 180
3x = 99
x = 33
Therefore, the solution is (3x-24) + BLANK = BLANK, we have (3(33) - 24) + BLANK = BLANK.