Question

1. solve for 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. In the given right - triangle, the exterior angle is 145°, and the two non - adjacent interior angles are \(x\) and 90°.
So, \(x + 90^{\circ}=145^{\circ}\).

Step2: Solve for \(x\)

Subtract 90° from both sides of the equation \(x + 90^{\circ}=145^{\circ}\).
\(x=145^{\circ}-90^{\circ}\).

Answer:

\(x = 55^{\circ}\)