Question

a side of the triangle below has been extended to form an exterior angle of 133°. 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 non - adjacent interior angles \(x\) and \(90^{\circ}\), and the exterior angle is \(133^{\circ}\). So, \(x + 90^{\circ}=133^{\circ}\).

Step3: Solve for \(x\)

Subtract \(90^{\circ}\) from both sides of the equation: \(x=133^{\circ}-90^{\circ}\).

Answer:

\(43^{\circ}\)