An obtuse angle is formed by two 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 the two unknown angles? Round to the nearest whole number.
Since an obtuse angle measures more than 90 degrees, we know that (3x)>90 degrees. We set up the equation (x-5)+(3x)=107 and combine like terms to find 4x-5=107. Then we solve for x to find x=28. We find that the measure of the first angle is (28-5)=23 degrees and the measure of the second angle is (3*28)=84 degrees.
