Two obtuse angles can be supplementary angles.

True

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False

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Solution

The correct option is B
False

Obtuse angles are greater than $90^{\circ}$ . So, the sum of two such angles will be greater than $180^{\circ}$ .

Therefore, two obtuse angles cannot be supplementary angles.

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Can two obtuse angles be supplementary?

Question 59

State whether the statement is True or False.

Two supplementary angles are always obtuse angles.

Q. Can two obtuse angles be supplementary?

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?

Two acute angles can be supplementary. Say True/False.

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Two obtuse angles can be supplementary angles.

The correct option is B False Obtuse angles are greater than 90∘ . So, the sum of two such angles will be greater than 180∘​. Therefore, two obtuse angles cannot be supplementary angles.

The correct option is B
False

Obtuse angles are greater than $90^{\circ}$ . So, the sum of two such angles will be greater than $180^{\circ}$ .

Therefore, two obtuse angles cannot be supplementary angles.