Question 85

Can two acute angles form a pair of supplementary angles? Give reason in support of your answer.

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Solution

No
Acute angles are those angles which are less than $90^{\circ} .$ If we add two angles which are less than $90^{\circ},$ we get the result less than $180^{\circ} .$
e.g. If we add $60^{\circ}$ and $70^{\circ} w e g e t 60^{\circ} + 70^{\circ} = 130^{\circ} < 180^{\circ}$ .

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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?

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Q. Two acute angles cannot form a pair of supplementary angles . Justify .

Q. Question 11
Can all the angles of a quadrilateral be acute angles. ? Give reasons for your answer.

Can a triangle have 2 acute angles.....give reason for your answer

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Supplementary Angles

Standard VII Mathematics

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Question 85 Can two acute angles form a pair of supplementary angles? Give reason in support of your answer.

No Acute angles are those angles which are less than 90∘. If we add two angles which are less than 90∘, we get the result less than 180∘. e.g. If we add 60∘ and 70∘ we get 60∘ + 70∘ = 130∘<180∘.

Question 85

Can two acute angles form a pair of supplementary angles? Give reason in support of your answer.

No
Acute angles are those angles which are less than $90^{\circ} .$ If we add two angles which are less than $90^{\circ},$ we get the result less than $180^{\circ} .$
e.g. If we add $60^{\circ}$ and $70^{\circ} w e g e t 60^{\circ} + 70^{\circ} = 130^{\circ} < 180^{\circ}$ .