SOLUTION: If angles are supplementary, then one of the angles is an obtuse angle. is this always true sometimes true or never true.?

Question 513072: If angles are supplementary, then one of the angles is an obtuse angle.
is this always true sometimes true or never true.?
Answer by umail08(87) (Show Source): You can put this solution on YOUR website!
Supplementary angles: sum of angles is equal to 180 degrees
Obtuse angle: measure of angle is greater than 90 degrees and less than 180 degrees.
Therefore:
We can represent the supplement of an angle by the phrase:
(180-x) degrees
So we can test some angles to determine what is the supplement:
If: x=80 degrees, then (180-x) = (180-100) = 80 degrees One angle is obtuse
If: x=90 degrees, then (180-x) = (180-90) = 90 degrees Neither angle is obtuse
If: x = 100 degrees, then (180-x) = (180-100) = 80 degrees One angle is obtuse
So we see that there is one case where neither angle is obtuse �
Therefore the answer would be �sometimes true�

RELATED QUESTIONS
Is this always sometimes or never true? If x and y are complementary angles, then x is... (answered by swincher4391)

If x and y are complementary angles, then x is obtuse. always, sometimes, on never true? (answered by Boreal)

if angle one and angle two are supplementary then one of the angles is Obtuse true or... (answered by solver91311)

tell whether the statement is always , sometimes or never true. 1. Two complementary... (answered by solver91311)

Is it always true, sometimes, true, or never true that the acure angles of a right... (answered by richard1234)

is it always true sometimes true or never true that two congruent angles that are... (answered by stanbon,rapaljer)

if two parallel lines are cut by a transversal, then alternate interior angles are... (answered by Edwin McCravy)

two supplementary angles consist of one acute angle and one obtuse angle is this true or... (answered by Alan3354)

If the measure of an angle is represented by x, then the measure of its complement is... (answered by jim_thompson5910)