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.

Answer 1

In an obtuse angle, the measure of the larger angle is greater than 90°. In this case, the larger angle is (3x)°.
To find x, we need to solve the equation (x - 5)° + (3x)° = 107°. Simplifying the equation gives 4x - 5 = 107.
Adding 5 to both sides gives 4x = 112. Dividing both sides by 4 gives x = 28.
Substituting x = 28 into the expression (x - 5)° gives (28 - 5)° = 23°.
Substituting x = 28 into the expression (3x)° gives (3 * 28)° = 84°. Answer: \boxed{23, 84}.