Two angles are supplementary with measures m∠ACB=4x° and m∠BCD=(6x+50)° . What is the measure of ∠ACB ?(1 point)
m∠ACB= __°
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Since the angles are supplementary, their measures add up to 180 degrees. Therefore, we can set up the following equation:
m∠ACB + m∠BCD = 180
4x + (6x + 50) = 180
Combining like terms:
10x + 50 = 180
Subtracting 50 from both sides:
10x = 130
Dividing both sides by 10:
x = 13
Now we can substitute this value back into the equation to find the measure of ∠ACB:
m∠ACB = 4x
m∠ACB = 4(13)
m∠ACB = 52
Therefore, the measure of ∠ACB is 52 degrees.