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.

acute, obtuse

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obtuse, acute

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acute, acute

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obtuse, obtuse

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Solution

The correct option is B obtuse, acute
We know
$90^{\circ} <$ Obtuse angle $< 180^{\circ}$ and $0^{\circ} <$ Acute angle $< 90^{\circ}$

That means, the supplementary angle of an obtuse angle will be an acute angle so that their sum is $180$ degrees and vice-versa.

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Similar questions

Q. An obtuse angle will always be expressed as a sum of one acute angle and other obtuse angle.

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. If the sum of two equal angles is supplementary , then each angle will be a/ an _____.

Q. Which of the following is correct?
1. The sum of two acute angles is always an obtuse angle
2. The difference between an obtuse angle and a right angle is an acute angle
3. The sum of two acute angles can be acute, right or an obtuse angle

Q. What measure of angle should be subtracted from an obtuse angle that will always result in an acute angle?

degrees

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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.​

The correct option is B obtuse, acuteWe know 90∘< Obtuse angle <180∘ and 0∘< Acute angle <90∘ That means, the supplementary angle of an obtuse angle will be an acute angle so that their sum is 180 degrees and vice-versa.

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.

The correct option is B obtuse, acute
We know
$90^{\circ} <$ Obtuse angle $< 180^{\circ}$ and $0^{\circ} <$ Acute angle $< 90^{\circ}$

That means, the supplementary angle of an obtuse angle will be an acute angle so that their sum is $180$ degrees and vice-versa.