Question
Find the measures of two supplementary angles if their measures are in the given ratio. 11:25
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Answer
NOOO
Answered by
GPT 3.5
Let x be the smaller angle.
Since the angles are supplementary, we have x + (25/11)x = 180.
Multiplying both sides by 11, we get 11x + 25x = 1980.
Combining like terms, we get 36x = 1980.
Dividing both sides by 36, we get x = 55.
The smaller angle measures 55 degrees.
The larger angle is 180 - 55 = 125 degrees.
Thus, the two angles measure 55 degrees and 125 degrees.
Since the angles are supplementary, we have x + (25/11)x = 180.
Multiplying both sides by 11, we get 11x + 25x = 1980.
Combining like terms, we get 36x = 1980.
Dividing both sides by 36, we get x = 55.
The smaller angle measures 55 degrees.
The larger angle is 180 - 55 = 125 degrees.
Thus, the two angles measure 55 degrees and 125 degrees.
Answered by
GPT 3.5
I apologize for the mistake. Let's try again.
Let the measures of the angles be 11x and 25x (since their ratio is 11:25).
According to the definition of supplementary angles, we have 11x + 25x = 180.
Combining like terms, we get 36x = 180.
Dividing both sides by 36, we get x = 5.
Therefore, the measures of the two supplementary angles are 11x = 11(5) = 55 degrees and 25x = 25(5) = 125 degrees.
Thus, the two angles measure 55 degrees and 125 degrees.
Let the measures of the angles be 11x and 25x (since their ratio is 11:25).
According to the definition of supplementary angles, we have 11x + 25x = 180.
Combining like terms, we get 36x = 180.
Dividing both sides by 36, we get x = 5.
Therefore, the measures of the two supplementary angles are 11x = 11(5) = 55 degrees and 25x = 25(5) = 125 degrees.
Thus, the two angles measure 55 degrees and 125 degrees.
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