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11 questions · self-marked practice — reveal the answer and mark yourself.

Question 12 Marks
Find the complement of the following angles:
35°
Answer
The given angle measures 35°Let the measure of its complement be x
x + 35° = 90°
Or x = (90 - 35 )° = 55°
Hence, the complement of the given angle will be 55°
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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:
60º
Answer
The given angle measures 60°
Let the measure of its complement be x
x + 60º = 90º
Or x = (90 - 60)º = 30º
Hence, the complement of the given angle will be 30º
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Question 42 Marks
Find the complement of the following angles:
47º
Answer
The given angle measures 47°
Let the measure of its complement be x
x + 47º = 90º
Or x = (90 - 47)º = 43º
Hence, the complement of the given angle will be 43º
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Question 52 Marks
Find the supplement of the following angles:123º
Answer
The given angle measures 123°
Let the measure of its supplement be x
x + 123° = 180°
Or x = (180 - 123)° = 57°
Hence, the complement of the given angle will be 57°
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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°, they cannot be supplementary as their sum will always be more than 180°
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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°, they cannot be supplementary as their sum will always be less than 180°.
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Question 82 Marks
Find the supplement of the following angles:80º
Answer
The given angle measures 80°
Let the measure of its supplement be x
x + 80° = 180°
Or x = (180 - 80)° = 100°
Hence, the complement of the given angle will be 100°
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Question 92 Marks
Find the supplement of the following angles:105º
Answer
The given angle measures 105°
Let the measure of its supplement be x
x + 105° = 180°
Or x = (180 - 105)° = 75°
Hence, the complement of the given angle will be 75°
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Question 102 Marks
Find the supplement of the following angles:54º
Answer
The given angle measures 54°
Let the measure of its supplement be x
x + 54° = 180°
Or x = (180 - 54)° = 126°
Hence, the complement of the given angle will be 126°
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Question 112 Marks
Find the complement of the following angles:
73º
Answer
The given angle measures 73°
Let the measure of its complement be x
x + 73º = 90º
Or x = (90 - 73)º = 17º
Hence, the complement of the given angle will be 17º
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