Question

Sumanti say in the pair of supplementary angles both angels are obtuse.do you agree.give reason

Answer 1

heya

no i dont agree with sumanti as we know that supplementary angles are those angles whose sum is 180 degree.moreover obtuse angles are those angles which are more than 90 degree.

suppose the angles be 90+x degrees and the other be 90+y degrees

if we add both of these we find the sum to be 180+x+y

thus sum of two obtuse angles will be more than 180 degree

hence sumanti is wrong

hope it helps u

Answer 2

No, both angles can't be obtuse angles
because obtuse angle is always greater than 90 but less than 180.
so the minimum size of an obtuse angle =91
now other is also minimum = 91
according to the definition,
sum of two supplementary angles = 180
91+91 is not equal to 180