Question
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
Answers
GPT 3.5
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.
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.