what is the value of $m$?

Explanation:

Step1: Identify the right angle

The red square mark indicates the total angle of the two adjacent angles is 90°.

Step2: Set up the equation

The sum of angle (m) and 30° equals 90°: $$m + 30^\circ = 90^\circ$$

Step3: Solve for m

Subtract 30° from both sides: $$m = 90^\circ - 30^\circ = 60^\circ$$

Answer:

60