Since the angles are supplementary, their measures add up to 180 degrees.
Thus, we can write the equation:
(x + 16) + (3x) = 180
Combining like terms:
4x + 16 = 180
Subtracting 16 from both sides:
4x = 164
Dividing both sides by 4:
x = 41
Therefore, the measure of BCD is:
3x = 3(41) = 123 degrees.
Two angles are supplementery. They have the following measures: m ACB= (x+16) degrees and m BCD= (3x) degrees. What is the measure of BCD?
1 answer