An obtuse angle is formed by two adjacent angles with measures X -5 and 3X if the resulting angle measures 107, what is the angle measure of each of the two unknown angles round to the nearest whole number?
To find the measures of the two unknown angles, we need to solve the equation $107 = (X - 5) + (3X)$. Simplifying, we have $107 = 4X - 5$. Adding 5 to both sides gives $112 = 4X$. Dividing both sides by 4 gives $28 = X$.
Now, we can substitute this value back into the expressions for the two unknown angles. The first angle is $X - 5 = 28 - 5 = 23$. The second angle is $3X = 3(28) = 84$.
Therefore, the two unknown angles are approximately $\boxed{23}$ and $\boxed{84}$.