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

Answer 1

Since angles ABC and CBD are supplementary, their measures add up to 180 degrees.

So, the equation to solve for x would be:

105 + (3x - 24) = 180

Now, solve for x:

105 + 3x - 24 = 180
3x + 81 = 180
3x = 99
x = 33

Therefore, the equation to solve for x is 3x - 24 = 75, and x = 33.

Answer 2

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Answer 3

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Answer 4

Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)° . What is the measure of ∠ACB ?

Answer 5

Since angles ACB and BCD are supplementary, their measures add up to 180 degrees.

So, the equation to solve for x would be:

4x + (6x + 50) = 180

Now, solve for x:

4x + 6x + 50 = 180
10x + 50 = 180
10x = 130
x = 13

Now that we found the value of x, we can find the measure of angle ACB:

4x = 4(13) = 52

Therefore, the measure of angle ACB is 52 degrees.