an obtuse angle is formed by 2 adjacent angles with measures (x -5) degrees and (3x) degrees. if the resulting angle measure is 107 degrees. what is the angle measure of each of two unknown angles? round to the nearest whole number
To find the angle measures, we can set up an equation based on the given information.
The sum of two adjacent angles forming an obtuse angle is 180 degrees.
So, (x-5) + (3x) = 180.
Combining like terms:
4x - 5 = 180.
Adding 5 to both sides:
4x = 185.
Now, dividing by 4:
x = 46.25.
Using this value of x, we can find the measure of the first angle:
x - 5 = 46.25 - 5 = 41.25 degrees.
And the measure of the second angle:
3x = 3(46.25) = 138.75 degrees.
Rounding to the nearest whole number:
The first angle is approximately 41 degrees, and the second angle is approximately 139 degrees.