Math, asked by kkashu5935, 1 year ago

Two acute angles can't form a pair of supplementary angles.justify.

Answers

Answered by jillpatelj7
2

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

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