Question

An obtuse angle is formed by two adjacent angles with measures (×-5)° and (3×)°. 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

[AI-generated answer — Bot GPT 3.5]

Let the measure of the first angle be x°.

Then the measure of the second angle is 3x°.
The resulting obtuse angle is the sum of these two angles: (3x°) + (x° - 5°) = 107°.
Combining like terms, we get 4x° - 5° = 107°.
Adding 5° to both sides, we get 4x° = 112°.
Dividing both sides by 4, we get x° = 28°.
Therefore, the measure of the first angle is 28° and the measure of the second angle is 3(28°) = 84°. Answer: \boxed{28, 84}.