Question

solve for m

Explanation:

Step1: Find angle $n$ (triangle sum)

The sum of angles in a triangle is $180^\circ$.
$$n = 180^\circ - 61^\circ - 87^\circ = 32^\circ$$

Step2: Find $m$ (supplementary angle)

$m$ and $61^\circ$ form a linear pair (supplementary, sum to $180^\circ$).
$$m = 180^\circ - 61^\circ = 119^\circ$$

Answer:

$119^\circ$