Question

find the value of x. (diagram: triangle with angles 44°, 80°, and exterior angle 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 \(y\)) is \(180 - 44 - 80\).
\(y = 180 - 44 - 80 = 56^\circ\)

Step2: Use the linear pair property

The angle \(x\) and angle \(y\) form a linear pair, so their sum is \(180^\circ\). So \(x = 180 - y\).
Since \(y = 56^\circ\), then \(x = 180 - 56 = 124^\circ\)

Answer:

\(124\)