Answer:
Smallest angle = 42°
Explanation:
Let the two acute angles be x and y
We know that in any right angle triangle the sum of the two acute angles is always 90°
Hence
x + y = 90 -------------(A)
Also given that x - y = 6 ---------------(B)
Adding A and B
2x= 96
dividing both sides by 2 we get
x = 48
Putting this value in equation B and solving for y
48-y=6
y=48-6
y=42
Hence the measurement of the two angles are
48° and 42°