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)

Question

Responses

32° and 75°
32 degrees and 75 degrees

28° and 79°
28 degrees and 79 degrees

23° and 84°
23 degrees and 84 degrees

20° and 87°

Answer 1

To find the angle measures, we need to set up an equation:

(x - 5) + (3x) = 107

Combining like terms:

4x - 5 = 107

Adding 5 to both sides:

4x = 112

Dividing both sides by 4:

x = 28

Substituting x back into the original expressions:

(x - 5) = (28 - 5) = 23

(3x) = (3 * 28) = 84

Therefore, the angle measures are 23° and 84°.

Rounded to the nearest whole number, the answer is:

23 degrees and 84 degrees.