Bazanarina, this is the solution:
Shorter acute angle = x
Larger acute angle = 4x + 10
Now, let's recall that in a right triangle, the two acute angles add up to 90.
Thus, we have:
x + 4x + 10 = 90
5x + 10 = 90
Subtracting 10 at both sides:
5x + 10 - 10 = 90 - 10
5x = 80
Dividing by 5 at both sides:
5x/5 = 80/5
x = 16 (This is the value of the shorter angle)
Now, let's calculate the measure of the larger acute angle:
4x + 10 = 4 * 16 + 10 = 74
The correct answer is A.