Question

find the values of m and n.
the value of m is \boxed{} ^\circ

Explanation:

Step1: Analyze the exterior angle

The exterior angle of a triangle is \(124^\circ\), so the adjacent interior angle is \(180 - 124 = 56^\circ\) (linear pair).

Step2: Use right triangle angle sum

In the right triangle, one angle is \(90^\circ\), another is \(56^\circ\), so \(m = 90 - 56 = 34^\circ\) (angle sum of triangle is \(180^\circ\)).

Answer:

\(34\)