Can two adjacent angles be supplementary ? Draw figure .

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Solution

Yes. Because $∠ A O C + ∠ C O B =$ $180^{0}$

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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?
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(xii) can two obtuse angles form a linear pair?
(xiii) Can two right angles form a linear pair?

Q. Can two adjacent angles be complementary ? Draw figure .

If true then enter

1

and if false then enter

0

Can two adjacent angles be supplementary?

Q. Construct the following figures.
(i) A pair of adjacent angles
(ii) Two supplementary angles which are not adjacent angles.
(iii) A pair of adjacent complementary angles.

(a) What are the three conditions that must be satisfied for two angles to be adjacent? [3 MARKS]

(b) In the given figure, $\angle 1$ and $\angle 2$ are supplementary angles. If $\angle 1$ decreases, then $\angle 2$ will _______ so that both the angles are still supplementary.

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Can two adjacent angles be supplementary ? Draw figure .

Yes. Because ∠AOC+∠COB=1800

Yes. Because $∠ A O C + ∠ C O B =$ $180^{0}$