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

Answer 1

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.

Answer 2

the format for the answer is (3x-24) + BLANK = BLANK

Answer 3

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.