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
32° and 75°
32 degrees and 75 degrees
20° and 87°
20 degrees and 87 degrees
28° and 79°
To find the angle measures, we set up the equation (x - 5) + (3x) = 107 and solve for x.
Combining like terms, we get 4x - 5 = 107.
Add 5 to both sides of the equation: 4x = 112.
Divide both sides of the equation by 4: x = 28.
Now we can find the angle measures by substituting x = 28 into the expressions (x - 5) and (3x).
(x - 5) = (28 - 5) = 23
(3x) = (3 * 28) = 84
Therefore, the angle measures of the two unknown angles are 23° and 84°.