Question

question a side of the triangle below has been extended to form an exterior angle of 125°. find the value of 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.
Let the two non - adjacent interior angles of the triangle be \(25^{\circ}\) and \(x^{\circ}\), and the exterior angle be \(125^{\circ}\).
So, \(25 + x=125\).

Step2: Solve for \(x\)

Subtract 25 from both sides of the equation \(25 + x = 125\).
\(x=125 - 25\).
\(x = 100\).

Answer:

\(100\)