A obtuse angles is formed by two adjacent angles with measure (x-5)° and (3x). If the resulting angle measure is 107° whqt is tge angle measure of each of the two unknown angles. Round to the nearest whole number
Let's solve for x first.
Since an obtuse angle measures more than 90 degrees and the sum of the two adjacent angles is equal to 107 degrees, we can set up the equation:
(x - 5) + (3x) = 107
4x - 5 = 107
4x = 112
x = 28
Now that we have x, we can substitute it back into the expressions for the two adjacent angles to find their measures:
(x - 5) = (28 - 5) = 23 degrees
(3x) = (3 * 28) = 84 degrees
Thus, the two unknown angles measure approximately 23 degrees and 84 degrees, respectively.