2 Marks Questions

Question 12 Marks

Find the complement of the following angles:$ 35^\circ $

Answer

The given angle measures $35^\circ $
Let the measure of its complement be $x$
$x + 35^\circ = 90^\circ $
Or $x = (90 - 35 )^\circ = 55^\circ $
Hence, the complement of the given angle will be $55^\circ $

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Question 22 Marks

Can two angles be supplementary if both of them are: Right?

Answer

Yes. If both the angles are right, i.e. they both measure $90^\circ $, then they form a supplementary pair. $90^\circ + 90^\circ = 180^\circ $

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Question 32 Marks

Find the complement of the following angles: $60^\circ $

Answer

The given angle measures $60^\circ $ Let the measure of its complement be $x x + 60^\circ = 90^\circ Or x = (90 - 60)^\circ = 30^\circ $
Hence, the complement of the given angle will be $30^\circ $

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Question 42 Marks

Find the complement of the following angles: $47^\circ $

Answer

The given angle measures $47^{\circ}$ Let the measure of its complement be $x x+47^{\circ}=90^{\circ} Or x=(90-47)^{\circ}=43^{\circ}$ Hence, the complement of the given angle will be $43^{\circ}$

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Question 52 Marks

Find the supplement of the following angles:$123^\circ $

Answer

solution The given angle measures $123^{\circ}$
Let the measure of its supplement be $x$
$x+123^{\circ}=180^{\circ}$
Or $x=(180-123)^{\circ}=57^{\circ}$
Hence, the complement of the given angle will be $57^{\circ}$

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Question 62 Marks

Can two angles be supplementary if both of them are: Obtuse?

Answer

No. If both the angles are obtuse, i.e. more than $90^\circ $, they cannot be supplementary as their sum will always be more than $180^\circ $

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Question 72 Marks

Can two angles be supplementary if both of them are: Acute?

Answer

No. If both the angles are acute, i.e. less than $90^\circ ,$ they cannot be supplementary as their sum will always be less than $180^\circ .$

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Question 82 Marks

Find the supplement of the following angles:$80^\circ$

Answer

The given angle measures $80^\circ $
Let the measure of its supplement be $x x + 80^\circ = 180^\circ Or x = (180 - 80)^\circ = 100^\circ $
Hence, the complement of the given angle will be $100^\circ $

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Question 92 Marks

Find the supplement of the following angles:$105^\circ $

Answer

The given angle measures $105^\circ $
Let the measure of its supplement be $x x + 105^\circ = 180^\circ Or x = (180 - 105)^\circ = 75^\circ $
Hence, the complement of the given angle will be $75^\circ $

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Question 102 Marks

Find the supplement of the following angles:$54^\circ $

Answer

The given angle measures $54^\circ $
Let the measure of its supplement be $x x + 54^\circ = 180^\circ Or x = (180 - 54)^\circ = 126^\circ $
Hence, the complement of the given angle will be $126^\circ $

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Question 112 Marks

Find the complement of the following angles: $73^\circ $

Answer

The given angle measures$ 73^\circ $
Let the measure of its complement be$ x x + 73^\circ = 90^\circ Or x = (90 - 73)^\circ = 17^\circ $
Hence, the complement of the given angle will be $17^\circ $

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Maths 2 Marks Questions

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