True False[1 Marks ]

Question 11 Mark

Both angles of a pair of supplementary angles can never be acute angles.

Answer

True.Solution:
Acute angles are those which are less than $90^\circ $. Both angles of a pair of supplementary angles can never be acute.

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Question 21 Mark

Two angles making a linear pair are always adjacent angles.

Answer

True. Solution: From the above figure, $\angle1$ and $\angle2$ form a linear pair and are adjacent angles.

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Question 31 Mark

A linear pair may have two acute angles.

Answer

False. Solution: A linear pair either have both right angles or one acute and one obtuse angle, because angles forming linear pair is $180^\circ .$

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Question 41 Mark

Two supplementary angles are always obtuse angles.

Answer

False. Solution: If two angles are supplementary angles, then it is not necessary that they are always obtuse angles. e.g. $60^\circ $ and 120° are supplementary angles but both are not obtuse.

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Question 51 Mark

One obtuse angle and one acute angle can make a pair of complementary angles.

Answer

False. Solution: Since, sum of two complementary angles is $90^\circ $, so sum of one obtuse and one acute angles cannot make a pair of complementary angles as obtuse angle is greater than $90^\circ .$

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Question 61 Mark

An angle is more than $45^\circ .$ Its complementary angle must be less than $45^\circ .$

Answer

True. Solution: e.g. Let one angle $= 50^\circ $
$\therefore$ The other angle $= 90 - 50^\circ = 40^\circ < 45^\circ $

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Question 71 Mark

Vertically opposite angles are either both acute angles or both obtuse angles.

Answer

True.Solution:
Vertically opposite angles are equal. So, if one angle is acute, then other angle will be acute and if one angle is obtuse, then the other will be obtuse.

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Question 81 Mark

Two right angles are complementary to each other.

Answer

False. Solution: Measure of right angle is $90^\circ $. So, the sum of two right angles $= 90^\circ + 90^\circ = 180^\circ $. Complementary angles are those whose sum is equal to $90^\circ $. Hence, two right angles are never be complementary.

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Question 91 Mark

Two supplementary angles always form a linear pair.

Answer

False. Solution: Linear pair is always in a straight line.

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Question 101 Mark

Interior angles on the same side of a transversal with two distinct parallel lines are complementary angles.

Answer

False. Solution: Interior angles on the same side of a transversal with two distinct parallel lines are supplementary angles.

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Question 111 Mark

Vertically opposite angles form a linear pair.

Answer

False. Solution: Two angles making a linear pair are always adjacent angles.

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Question 121 Mark

One obtuse angle and one acute angle can make a pair of suplementary angles.

Answer

True. Solution: One obtuse angle and one acute angle can make a pair of supplementary angles, e.g. $60^\circ $ and $120^\circ $ are supplementary angles. So, one is $60^\circ $ i.e. acute angle and other is $120^\circ $, i.e. obtuse angle.

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Question 131 Mark

Two right angles are always supplementary to each other.

Answer

True. Solution: Measure of a right angle is $90^\circ $. Then, sum of two right angles will be $(90^\circ + 90^\circ ) = 180^\circ $. So, two right angles are always supplementary to each other.

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Question 141 Mark

Two adjacent angles always form a linear pair.

Answer

False. Solution: Two adjacent angles do not always form a linear pair, but the angles forming linear pair are always adjacent angles.

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Question 151 Mark

Two angles making a linear pair are always supplementary.

Answer

True. Solution: Because linear pair is always in a straight line and straight line makes $180^\circ $ angle.

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Maths True False[1 Marks ]

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