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? round to the nearest whole number.
To solve this problem, we need to set up an equation:
(x - 5) + (3x) = 107
Combining the like terms:
4x - 5 = 107
Adding 5 to both sides:
4x = 112
Dividing both sides by 4:
x = 28
Now we can find the measures of the two adjacent angles:
First angle: x - 5 = 28 - 5 = 23 degrees
Second angle: 3x = 3(28) = 84 degrees
So, the first unknown angle measures 23 degrees and the second unknown angle measures 84 degrees.