An obtuse angle is formed by two adjacent angles with measures (x + 10) ° and (3x) ° . If the resulting angle measure is 118 ° , 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 should be 118°.
Therefore, (x + 10) + (3x) = 118.
Combining like terms, 4x + 10 = 118.
Subtracting 10 from both sides, 4x = 108.
Dividing both sides by 4, x = 27.
Thus, the two unknown angles are (27 + 10)° = 37° and (3 * 27)° = 81°.