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

Orlando Kaiser

5 June, 10:08

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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Esther · 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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