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

Answer 1

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.