Can two obtuse angles be supplementary, if both of them be(i) Obtuse?(

1.	Can two obtuse angles be supplementary, if both of them be(i) Obtuse?(ii) Right?(iii) Acute?
Answer» (i) No, two obtuse angles cannot be supplementary Because, the sum of two angles is greater than 90° so their sum will be greater than 180° (ii) Yes, two right angles can be supplementary Because, 90° + 90° = 180° (iii) No, two acute angle cannot be supplementary Because, the sum of two angles is less than 90° so their sum will also be less than 90°

Can two obtuse angles be supplementary, if both of them be(i) Obtuse?(ii) Right?(iii) Acute?

Answer»

(i) No, two obtuse angles cannot be supplementary

Because, the sum of two angles is greater than 90° so their sum will be greater than 180°

(ii) Yes, two right angles can be supplementary

Because, 90° + 90° = 180°

(iii) No, two acute angle cannot be supplementary

Because, the sum of two angles is less than 90° so their sum will also be less than 90°