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)
The sum of the two adjacent angles equals the measure of the obtuse angle, which is 107°. Therefore, we can write the equation:
(x - 5) + (3x) = 107
Combining like terms, we have:
4x - 5 = 107
Adding 5 to both sides, we get:
4x = 112
Dividing both sides by 4, we find:
x = 28
Now we can substitute x back into the expressions for the two unknown angles:
(x - 5) = (28 - 5) = 23°
(3x) = (3 * 28) = 84°
Therefore, the two unknown angles are approximately 23° and 84°.