Answer:
Therefore, the measure of the other small angle is 72 degrees.
Explanation:
Let's call the measure of one of the small angles "x" and the measure of the other small angle "y".
We know that the two small angles of a right triangle are complementary, which means their sum is 90 degrees. So we have:
x + y = 90
We also know that one of the small angles is 18 more than 3 times the other. We can express this as:
x = 3y + 18
Now we can substitute the expression for x into the first equation:
x + y = 90
(3y + 18) + y = 90
Combining like terms, we get:
4y + 18 = 90
Subtracting 18 from both sides, we get:
4y = 72
Dividing both sides by 4, we get:
y = 18
So one of the small angles is 18 degrees.
To find the other small angle, we can use the expression we found for x in terms of y:
x = 3y + 18
Substituting y = 18, we get:
x = 3(18) + 18 = 72
Therefore, the measure of the other small angle is 72 degrees.