Question

Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)°. What is the measure of ∠ACB?(1 point) m∠ACB=

Answer 1

Is it right?

Answer 2

Since the two angles are supplementary, their measures add up to 180 degrees. Thus, we have the equation:

4x + (6x + 50) = 180

Combining like terms, we get:

10x + 50 = 180

Subtracting 50 from both sides, we have:

10x = 130

Dividing both sides by 10, we get:

x = 13

Plugging this value back into the equation to find the measure of angle ACB:

m∠ACB = 4x = 4(13) = 52

Therefore, the measure of ∠ACB is 52 degrees.

Answer 3

I apologize for the previous incorrect response. Let's solve the problem correctly:

Since the two angles are supplementary, their measures add up to 180 degrees. Thus, we have the equation:

4x + (6x + 50) = 180

Combining like terms, we get:

10x + 50 = 180

Subtracting 50 from both sides, we have:

10x = 130

Dividing both sides by 10, we get:

x = 13

Plugging this value back into the equation to find the measure of angle ACB:

m∠ACB = 4x = 4(13) = 52

Therefore, the measure of ∠ACB is 52 degrees.

So, yes, the measure of ∠ACB is indeed 52 degrees. Apologies again for the previous incorrect response.