Question

Is it possible to construct a quadrilateral having : 1.all its four angle are obtuse? 2.all its four angles acute? give reason for your answer

Answer 1

Heya. ..
here is ur answer...
sum of the angles in a quadrilateral is 360degree so only 3 actuteand one obtuse
or twoacute and two obtuse
or one actute and three obtuse are possible to construct (same for both questions )




but if all angles r acute or obtuse the sum will be less than 360degree (in case of all acute) (for second question )



and it will be more than (360degree ) ( in case of all obtuse angles) (for first question )
which is not a quadrilateral
hence in such way quadrilateral can't be constructed(conclusion for both)
hope this helps u dear......

Answer 2

Hey !!!!

Mate :-

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Question :-


✩ all its four angle are obtuse

Answer :-

N0...

Because. A/Q To the property of quardiratral The sum of the angles measure is 360. nd A/Q All side to be more than 90 then it is not possible.

Question:-

2.all its four angles acute?

Answer :-

No its also not possible bcz. A/Q to Question All angles measure is less than 90. Which sum cannot be 360 so that its also not possible.



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✩ ✩ ✩ Hop its helpful ✩ ✩ ✩

★ Regard :- ♡♡« Nitish Kr Singh» ♡♡