To form an obtuse angle, the sum of the measures of the two adjacent angles must be greater than 90 degrees but less than 180 degrees.
So, we have the inequality:
(x - 5) + (x - 5) > 90
Simplifying the left side of the inequality:
2x - 10 > 90
Adding 10 to both sides of the inequality:
2x > 100
Dividing both sides by 2:
x > 50
Therefore, x must be greater than 50 for the two adjacent angles with measures (x - 5) to form an obtuse angle.
an obtuse angle us formed by two adjacent angles with measures (x - 5)
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