Math, asked by fruby786pc96pm, 1 year ago

Two acute angles cannot form a supplementary angles. Justify.

Give a very good explanation please.

Best answer= Brainliest


saswatpatra: hey you get one
fruby786pc96pm: Your saying its easy so prove it
raminder1: ok
captaindeyab1pdcbhw: Since a supplementary angle measures 180 degrees and an acute angle measures less than 90 degrees so that's why it will become 180 degrees and 1 angle cannot be 0 degrees
saswatpatra: ok
captaindeyab1pdcbhw: Is this ok
raminder1: ask again i will try to prove mathematically
saswatpatra: no
saswatpatra: square root of 1222334346
raminder1: that's coming 34961. something

Answers

Answered by maya51
33
Acute angles, by definition, are angles that measure greater than 0° and less than 90°, or 0°<θ<90°.0°<θ<90°.

Supplementary angles, by definition, are positive angles that add up to 180°.

If you add two acute angles that are each as large as possible, their sum will be less than 180°, so they can’t be supplementary.

If one angle of a supplementary pair is acute, the other must be obtuse to make up the difference.

If one angle of a supplementary pair is a right angle, the other one must also be a right angle, because 90°+90°=180°.

With all that said, three or more angles that are each acute can be supplementary; a simple example would be 60°+60°+60°=180


fruby786pc96pm: Is this copied? I'm just asking.
raminder1: seems so
saswatpatra: yeah it is
Answered by mahfoozfarhan4
28

They cannot. Their sum must be 180 o to be supplementary, but it will be less than 180 o because each acute angle is less than 90 o .

Explanation:

Angles

∠ A and ∠ B are supplementary if their sum measures 180 o .

Acute angle are those measured less than 90o .

If ∠ A < 90 o and ∠ B < 90 o then ∠ A + ∠ B < 180 o

Therefore, two acute angle cannot be supplementary to each other.

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