An obtuse angle is formed by two adjacent angles with measures (x−5)° and (3x)°. If the resulting angle measure is 107°, what is the angle measure of each of the two unknown angles? Round to the nearest whole number.
28° and 79° 28 degrees and 79 degrees 20° and 87° 20 degrees and 87 degrees 32° and 75° 32 degrees and 75 degrees 23° and 84°
Let's set up an equation to solve for the unknown angles. According to the problem, the sum of the two adjacent angles is equal to 107°:
(x-5) + (3x) = 107
Combining like terms, we get:
4x - 5 = 107
Adding 5 to both sides:
4x = 112
Dividing both sides by 4:
x = 28
Now we can substitute this value back into the expressions for the two unknown angles:
(x-5)° = (28-5)° = 23°
(3x)° = (3*28)° = 84°
So the angle measures of the two unknown angles are 23° and 84°.