Question

a side of the triangle below has been extended to form an exterior angle of 141°. find the value of x.

Explanation:

Step1: Recall exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.

Step2: Set up the equation

Let the right - angled triangle have angles \(90^{\circ}\), \(x^{\circ}\) and the exterior angle \(141^{\circ}\). According to the exterior - angle property, \(141=x + 90\).

Step3: Solve for \(x\)

Subtract 90 from both sides of the equation: \(x=141 - 90\).
\(x = 51\)

Answer:

\(51\)