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.
1 answer
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.