SOLUTION: The sum of the measures of two angles is 120 degrees .If the measure of one of the angles is five times that of the other ,which statment is true 1-- the angles are supplementary

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Question 15284: The sum of the measures of two angles is 120 degrees .If the measure of one of the angles is five times that of the other ,which statment is true
1-- the angles are supplementary
2-- the angles are complementary
3-- both angles are acute
4-- one angle is an acute angle and the other is an obtuse angle
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = smaller angle
5x = larger angle
x + 5x = 120
6x = 120
x= 20 degrees -- smaller angle
5x = 100 degrees -- larger angle

Now consider the choices.
1. They are NOT supplementary since they do not add up to 180 degrees.
2. They are NOT complementary since they do not add up to 90 degrees.
3. They are NOT both acute since the larger angle is larger than 90 degrees.
4. One angle is acute and the other is obtuse. This is true.

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