Question

a side of the triangle below has been extended to form an exterior angle of 144°. find the value of x. answer attempt 2 out of 2 x = 54

Explanation:

Step1: Use the linear - pair property

The exterior angle of \(144^{\circ}\) and \(x^{\circ}\) form a linear pair. The sum of angles in a linear pair is \(180^{\circ}\). So, \(x + 144=180\).

Step2: Solve for \(x\)

Subtract \(144\) from both sides of the equation \(x + 144=180\).
\(x=180 - 144\).
\(x = 36\).

Answer:

\(x = 36\)