An obtuse angle is formed by two adjacent angles with measures (x - 5) degrees and 3x degrees. of the resulting angle measure is 107, what is the angle measure of each of the two unknow angles round to the nearest whole number
23 and 84
32 and 75
20 and 87
28 and 79
Let's solve for x first.
The sum of the two angles is (x - 5) + 3x = 4x - 5.
Since the resulting angle measure is 107, we have the equation 4x - 5 = 107.
Adding 5 to both sides, we get 4x = 112.
Dividing both sides by 4, we have x = 28.
Now we can substitute x back into the expressions for the two unknown angles.
The two angles are (x - 5) = 28 - 5 = 23 and 3x = 3(28) = 84.
Therefore, the angle measures are 23 and 84.