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.(1 point)
Responses
28° and 79°
28 degrees and 79 degrees
20° and 87°
20 degrees and 87 degrees
23° and 84°
23 degrees and 84 degrees
32° and 75°
To solve this problem, we can set up the equation (x-5) + (3x) = 107.
Combining like terms, we have 4x - 5 = 107.
Adding 5 to both sides, we have 4x = 112.
Dividing both sides by 4, we have x = 28.
Therefore, the two unknown angles are (28-5)° and (3*28)°, which simplifies to 23° and 84°.
So the answer is 23 degrees and 84 degrees.
The correct response is: 23° and 84°