We have been asked to find the value of x. Notice, that the right angle symbol indicates that the given angles are complementary angles. Therefore, they have a sum of 90 ^(∘).
Since the sum of the angles whose measures are 5x and (x-6) is equal to 90, we can write an equation to represent this.
5x+ (x-6)=90
Let's find the value of x by solving this equation.