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.

Answer 1

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.