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To solve this problem, we can set up the equation (x-5) + (3x) = 107 and solve for x.
Combining like terms, we get 4x - 5 = 107.
Adding 5 to both sides, we get 4x = 112.
Dividing both sides by 4, we get x = 28.
Now, we can substitute this value of x into the expressions for the unknown angles to find their measures.
The first angle is (x-5)°, so it is (28-5)° = 23°.
The second angle is (3x)°, so it is (3*28)° = 84°.
Therefore, the angle measures of the two unknown angles are 23° and 84°.
Round to the nearest whole number, we get 23° and 84°.
So, the correct answer is:
23 degrees and 84 degrees