Can two angles be supplementary, if both of them be
(i) obtuse?
(ii) right?
(iii) acute?

Open in App

Solution

(i) No, two obtuse angles cannot be supplementary.
(ii) Yes, two right angles can be supplementary. ( $∵ ∠ 90 ° + ∠ 90 ° = ∠ 180 °$ )
(iii) No, two acute angles cannot be supplementary.

Suggest Corrections

Similar questions

Answer the following questions and justify.
(i) Can two acute angles he complement to each other?
(ii) Can two obtuse angles be complement to each other?
(iii) Can two right angles he complement to each other?
(iv) Can two acute angles be supplementary?
(v) Can two obtuse angles be supplementary?
(vi) Can two right angles be supplementary?
(vii) Can two adjacent angles be supplementary?
(viii) Can two adjacent angles be complementary?
(ix) Can two obtuse angles be adjacent angles?
(x) Can an acute angle be adjacent to an obtuse angle?
(xi) Can two acute angles form a linear pair?
(xii) can two obtuse angles form a linear pair?
(xiii) Can two right angles form a linear pair?

Q. Can two angles be supplementary if both of them are acute?

Q. Two obtuse angles can be supplementary.

Suppose two adjacent angles are supplementary. Show that if one of them is an obtuse angle, then the other angle must be acute.

Question 7 (iii)
Can two angles be supplementary if both of them are:
Right

Join BYJU'S Learning Program

Can two angles be supplementary, if both of them be (i) obtuse? (ii) right? (iii) acute?

(i) No, two obtuse angles cannot be supplementary.(ii) Yes, two right angles can be supplementary. (∵∠90°+∠90°=∠180°)(iii) No, two acute angles cannot be supplementary.

Can two angles be supplementary, if both of them be
(i) obtuse?
(ii) right?
(iii) acute?

(i) No, two obtuse angles cannot be supplementary.
(ii) Yes, two right angles can be supplementary. ( $∵ ∠ 90 ° + ∠ 90 ° = ∠ 180 °$ )
(iii) No, two acute angles cannot be supplementary.