S the following statement always, sometimes, or never true?

"The supplement of an acute angle is an obtuse angle."

Explain your answer.

Sample Response: The statement is always true because the sum of the two angles must be 180 degrees to be supplementary. If the first angle is an acute angle, then it has a measure of less than 90 degrees. To sum 180 degrees, the second angle would need to be more than 90 degrees, making it an obtuse angle.

Question

Mathematics

Jefferson Webb

17 May, 01:46

S the following statement always, sometimes, or never true?

"The supplement of an acute angle is an obtuse angle."

Explain your answer.

Sample Response: The statement is always true because the sum of the two angles must be 180 degrees to be supplementary. If the first angle is an acute angle, then it has a measure of less than 90 degrees. To sum 180 degrees, the second angle would need to be more than 90 degrees, making it an obtuse angle.

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Answers (1)

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Brian Sheppard · Answer 1

The statement is always true because the sum of the two angles must be 180 degrees to be supplementary. If the first angle is an acute angle, then it has a measure of less than 90 degrees. To sum 180 degrees, the second angle would need to be more than 90 degrees, making it an obtuse angle.

Step-by-step explanation:

Angle Relationships

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