Question

find the value of x.

Explanation:

Step1: Find the third angle of the triangle

The sum of the interior angles of a triangle is \(180^\circ\). So, the third angle \(A\) is \(180 - 76 - 49\).
\(180 - 76 - 49 = 55^\circ\)

Step2: Use the exterior angle theorem

The exterior angle \(x\) is equal to the sum of the two non - adjacent interior angles. So \(x = 76+49\) (or we can also use the fact that \(x\) and the third angle are supplementary, \(x = 180 - 55\)).
\(x=76 + 49=125^\circ\) (or \(180 - 55 = 125^\circ\))

Answer:

\(125\)