Is supplementary of an acute be obtuse?

True

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False

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Solution

The correct option is A True
The sum of two supplementary angles is $180 °$
so if one angle is acute i.e, less than $90 °$ the other must be obtuse more than $90 °$

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

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

Q. The supplementary angle of an acute angle will always be an _______ angle, whereas the supplementary angle of an obtuse angle will always be an _______ angle.

Q. Consider the following statements:

Statement I: One of the supplementary angles is always an obtuse angle.

Statement II: One of the complementary angles is always an acute angle.

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Is supplementary of an acute be obtuse?

The correct option is A TrueThe sum of two supplementary angles is 180°so if one angle is acute i.e, less than 90°the other must be obtuse more than 90°

The correct option is A True
The sum of two supplementary angles is $180 °$
so if one angle is acute i.e, less than $90 °$ the other must be obtuse more than $90 °$