In a pair of complementary angles, each angle cannot be more than ___

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Solution

Define complementary angles:
Pair of angles that sum up to $90 °$ are called complementary angles.
So, in the extreme case, one angle can be $90 °$ and other be $0 °$ .
Hence in a pair of complementary angles, each angle cannot be more than $90 °$ .

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Question 54

Fill in the blanks to make the statement true.

In a pair of complementary angles, each angle cannot be more than ___ .

Draw the pairs of angles as described below.If that is not possible, say why.

(i) Complementary angles that are not adjacent.

(ii) Angles in a linear pair which are not supplementary.

(iii) Complementary angles that do not form a linear pair.

(iv) Adjacent angles which are not in a linear pair.

(v) Angles which are neither complementary nor adjacent.

(vi) Angles in a linear pair which are complementary.

Q. Angles x and y form a pair of complementary angles. Can x or y be an obtuse angle? Answer in Yes/No.

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. 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.

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In a pair of complementary angles, each angle cannot be more than ___

Define complementary angles:Pair of angles that sum up to 90° are called complementary angles.So, in the extreme case, one angle can be 90° and other be 0°.Hence in a pair of complementary angles, each angle cannot be more than 90°.

Define complementary angles:
Pair of angles that sum up to $90 °$ are called complementary angles.
So, in the extreme case, one angle can be $90 °$ and other be $0 °$ .
Hence in a pair of complementary angles, each angle cannot be more than $90 °$ .