Answer
𝑚 = 60 degrees
𝑛 = 30 degrees
Work Step by Step
Equilateral triangle - all angles are 60 degrees by definition - given
Right triangle = 90 degrees by definition - given
90 = 𝑛 + 60
𝑛 = 30 degrees
𝑚 + 𝑛 + 90 = 180
𝑚 + 30 + 90 = 180
𝑚 + 120 = 180
𝑚 = 60 degrees