Question

9/22 -angles mixed practice
120°
find the value of x.
x =

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. The exterior angle here is \(120^{\circ}\), and the two non - adjacent interior angles are equal (as indicated by the equal - angle marks). Let each of the non - adjacent interior angles be \(x\).
So, \(120^{\circ}=x + x\).

Step2: Solve the equation

Combining like terms, we have \(120^{\circ}=2x\).
Dividing both sides by 2, we get \(x=\frac{120^{\circ}}{2}\).

Answer:

\(60^{\circ}\)