2 angles are supplementary. they have the following measures: angle 1= x + 16 and angle 2 = (3x)
Given that the angles are supplementary, we know that their measures add up to 180 degrees.
So, x + 16 + 3x = 180
Combining like terms, we get:
4x + 16 = 180
Subtracting 16 from both sides:
4x = 164
Dividing by 4:
x = 41
Thus, angle 1 = x + 16 = 41 + 16 = 57 degrees.
And angle 2 = 3x = 3(41) = 123 degrees.