Question

question a side of the triangle below has been extended to form an exterior angle of 125°. find the value of x. answer attempt 2 out of 2

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

Let the two non - adjacent interior angles be \(25^{\circ}\) and \(x^{\circ}\), and the exterior angle be \(125^{\circ}\). So, \(25 + x=125\).

Step3: Solve for \(x\)

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

Answer:

\(100\)