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)

Answer 1

The angle measure of the obtuse angle is the sum of the measures of the two adjacent angles. So we have the equation:
(x-5) + (3x) = 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
Substituting this value back into the equation for the first angle, we get:
x - 5 = 28 - 5 = 23
And for the second angle:
3x = 3(28) = 84
So the measures of the two unknown angles are approximately 23° and 84°.