The following angles are supplementary to each other.
m∠A = (3x + 21)° and m∠B = (6x − 21)°
Determine x.
a) 10
b) 20
c) 36
d) 60
Since the angles are supplementary, their sum must be equal to 180°. So, we can set up the equation:
(3x + 21) + (6x - 21) = 180
Combining like terms, we get:
9x = 180
Dividing both sides by 9, we find:
x = 20
Therefore, the answer is b) 20.