Question

a side of the triangle below has been extended to form an exterior angle of 127°. 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 - angle be 90°. According to the exterior - angle property, we have \(127^{\circ}=90^{\circ}+x\).

Step3: Solve for x

Subtract 90° from both sides of the equation: \(x = 127^{\circ}-90^{\circ}\).
\(x = 37^{\circ}\)

Answer:

\(37^{\circ}\)