Question

a side of the triangle below has been extended to form an exterior angle of 125°. find the value of

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In this right - triangle, the exterior angle is 125°, one non - adjacent interior angle is 90°, and the other is \(x\).
So, \(125^{\circ}=90^{\circ}+x\).

Step2: Solve for \(x\)

Subtract 90° from both sides of the equation: \(x = 125^{\circ}-90^{\circ}\).
\(x = 35^{\circ}\)

Answer:

\(35^{\circ}\)