Question

find the value of x. 34° x° 131°

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In this triangle, the exterior angle is 131°, and the two non - adjacent interior angles are 34° and \(x\). So, \(x + 34^{\circ}=131^{\circ}\).

Step2: Solve for \(x\)

Subtract 34° from both sides of the equation \(x + 34^{\circ}=131^{\circ}\). We get \(x=131^{\circ}-34^{\circ}\).
\(x = 97^{\circ}\)

Answer:

\(97\)