Question

find the value of x. there is a triangle with angles 43° and 82°, and an exterior angle x° at one vertex. the answer box is x =

Explanation:

Step1: Find the third angle of the triangle

The sum of angles in a triangle is \(180^\circ\). So the third angle (let's call it \(y\)) is \(180 - 43 - 82\).
\(180 - 43 - 82 = 55^\circ\)

Step2: Use linear pair to find \(x\)

The angle \(y\) and \(x\) form a linear pair, so their sum is \(180^\circ\). Thus, \(x = 180 - 55\).
\(x = 125\)

Answer:

\(125\)