Question

a side of the triangle below has been extended to form an exterior angle of 160°. find the value of x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use the exterior angle property of a triangle

The exterior angle property states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Let the exterior angle be \(E = 160^{\circ}\), and the two non - adjacent interior angles be \(x\) and \(48^{\circ}\). So, \(E=x + 48^{\circ}\).

Step2: Solve for \(x\)

We can rewrite the equation from Step 1 as \(x=E - 48^{\circ}\).
Substitute \(E = 160^{\circ}\) into the equation: \(x=160^{\circ}-48^{\circ}\).

$$x = 112^{\circ}$$

Answer:

\(112\)