Find the smaller angle given the following:
The angles are adjacent and form 120° angle.
One is 5 times as large as the other.
x + 5x = 120
6x = 120
x = ?
To find the smaller angle, let's call the smaller angle x. Given that the angles are adjacent and form a 120° angle, we can set up the following equation:
x + 5x = 120
Combining like terms, we have:
6x = 120
Dividing both sides of the equation by 6, we get:
x = 20
Therefore, the smaller angle is 20°.