To find the measure of angle ACB, we need to set up an equation using the fact that supplementary angles add up to 180 degrees.
Given:
m ACB = 4x degrees
m BCD = (6x + 60) degrees
Since ACB and BCD are supplementary angles:
m ACB + m BCD = 180
Substitute the given measures:
4x + (6x + 60) = 180
Combine like terms:
10x + 60 = 180
Subtract 60 from both sides:
10x = 120
Divide by 10:
x = 12
Now plug x back into the measure of angle ACB:
m ACB = 4x
m ACB = 4(12)
m ACB = 48 degrees
Therefore, the measure of angle ACB is 48 degrees.
Two angles are supplementary with measures m ACB = 4x degrees and m BCD = (6x + 60) degrees. What is the measure of ACB?
m ACB = __ degrees
1 answer