Question

find the value of x.
43°
80°
x°
x = \square

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 \(180 - 43 - 80\).
\(y = 180 - 43 - 80 = 57^\circ\)

Step2: Find \(x\) using linear pair

\(x\) and \(y\) form a linear pair, so their sum is \(180^\circ\). Thus, \(x = 180 - y\).
Since \(y = 57^\circ\), \(x = 180 - 57 = 123^\circ\)

Answer:

\(123\)