Think and discuss the following statements:
1. Can two acute angles form a linear pair?
2. Can two obtuse angles form a linear pair?

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Solution

Part- 1,
The greatest acute angle is 89°.

And 89° + 89° = 178°
Here, 178° < 180°
Thus, two acute angles can never be supplementary, so they can’t form a linear pair.

Part 2.
The smallest obtuse angle is 91°.

And 91° + 91° = 182°
Here, 182° > 180°
Thus, two two obtuse angles can never be supplementary, so they can’t form a linear pair.

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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?

Which of the following statements are true., (T) and which are false (F)?

(i) Angles forming a linear pair are supplementary.
(ii) If two adjacent angles are equal, then each angle measures $90^{\circ}$ .
(iii) Angles forming a linear pair can both be acute angles.
(iv) If angles forming a linear pair are equal, then each of these angles is of measure $90^{\circ}$ .

Can two obtuse angles form a linear pair?

Q. Can two acute angles form a linear pair?

State whether a linear pair can be formed by two acute angles.

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Think and discuss the following statements: 1. Can two acute angles form a linear pair? 2. Can two obtuse angles form a linear pair?

Think and discuss the following statements:
1. Can two acute angles form a linear pair?
2. Can two obtuse angles form a linear pair?