The angle measures are (x-5)° and (3x)°.
Since an obtuse angle is greater than 90°, we can set up the equation x-5 + 3x > 90.
Simplifying the equation, we get 4x - 5 > 90.
Adding 5 to both sides, we get 4x > 95.
Dividing both sides by 4, we get x > 23.75.
Since we need to round to the nearest whole number, x = 24.
Substituting x = 24 into the equations, we get (24 - 5)° and (3(24))°.
Simplifying, we get 19° and 72°.
Therefore, the angle measures are 19° and 72°.
The correct answer is 19 degrees and 72 degrees.
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°
1 answer
1 answer