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
20° and 87°
20 degrees and 87 degrees
28° and 79°
28 degrees and 79 degrees
32° and 75°
32 degrees and 75 degrees
23° and 84°
To find the angle measures, we can set up the equation (x-5)° + (3x)° = 107°.
Combining like terms, we get 4x - 5 = 107.
Adding 5 to both sides, we have 4x = 112.
Dividing both sides by 4, we get x = 28.
Substituting x = 28 back into the equation, we find that the angle measures are (28-5)° and (3(28))°.
Simplifying, we get 23° and 84°.
Therefore, the angle measures of the two unknown angles are 23° and 84°.