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
23° and 84°
23 degrees and 84 degrees
28° and 79°
28 degrees and 79 degrees
32° and 75°
32 degrees and 75 degrees
20° and 87°
20 degrees and 87 degrees
To solve this problem, we can set up the equation: (x-5) + (3x) = 107
Combining like terms, we get: 4x - 5 = 107
Adding 5 to both sides of the equation, we get: 4x = 112
Dividing both sides of the equation by 4, we get: x = 28
Substituting the value of x back into the equation, we can find the measures of the two unknown angles:
Angle 1: x - 5 = 28 - 5 = 23 degrees
Angle 2: 3x = 3(28) = 84 degrees
Therefore, the angle measures of the two unknown angles are 23 degrees and 84 degrees.