Math, asked by sheteswapnil212, 1 month ago

Is it possible that two abtuse angles are supplementary angles of each other and ?​

Answers

Answered by user12397
5

Answer:

NO

Step-by-step explanation:

No, two obtuse angles cannot form a supplementary angle. By the definition of obtuse angles, the angles that measure greater than 90° are obtuse. If you add two obtuse angles, the sum will be greater than 180°. It will not satisfy the property of the supplementary angles when we add obtuse angles.

Answered by Rishabh5169
4

Answer:

No

Step-by-step explanation:

Let take 91° which is the smallest obtuse angle

when add two smallest obtuse angle then:-

91° + 91° = 182°

and

182° ≠ 180°

so we observe that for two angles are called supplementary angles when they are in the following combination:-

Acute Angle, Obtuse angle

Right angle, Right angle

Obtuse angle, Acute angle

Two angles can never be supplementary if they are in the following combinations:-

Acute angle, Acute angle

Acute angle, Right angle

Obtuse Angle, Right angle

Obtuse angle, Obtuse angle

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