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 (let's call it \(y\)) of the triangle is \(180^\circ - 56^\circ - 86^\circ\).
\[180 - 56 - 86 = 38^\circ\]

Step2: Find \(x\) using linear pair

\(x\) and \(y\) form a linear pair, so their sum is \(180^\circ\). Thus, \(x = 180^\circ - y\).
Since \(y = 38^\circ\), then \(x = 180 - 38 = 142^\circ\).

Answer:

\(142\)