Question

determine the value of ( x ). enter the correct value in the box. ( x = square )

Explanation:

Step1: Find the third angle of the triangle

The sum of the interior angles of a triangle is \(180^\circ\). Given two angles are \(40^\circ\) and \(60^\circ\), the third angle (let's call it \(y\)) is \(180 - 40 - 60 = 80^\circ\).

Step2: Find the value of \(x\)

\(x\) and \(y\) are supplementary angles (they form a linear pair), so \(x + y = 180^\circ\). Substituting \(y = 80^\circ\), we get \(x = 180 - 80 = 100^\circ\).

Answer:

\(100\)