Question

question: a side of the triangle below has been extended to form an exterior angle of 130°. find the value of x. answer: attempt 1 out of 2 x = submit answer

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 \(115^{\circ}\) and \(x\), and the exterior angle be \(130^{\circ}\). So, \(115 + x=130\).

Step3: Solve for \(x\)

Subtract \(115\) from both sides of the equation: \(x = 130−115\).
\(x = 15\)

Answer:

\(15\)