BLANKS [1 Marks Each]

Question 11 Mark

The supplement of an obtuse angle is always _________ angle.

Answer

The supplement of an obtuse angle is always $90^\circ $ angle.Solution:
Two angles are said to be complementary angles, if their sum is $90^\circ .$
Hence, if two angles are complementary, then each angle cannot be more than $90^\circ .$

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Question 21 Mark

If sum of measures of two angles is $90^\circ $, then the angles are _______.

Answer

If sum of measures of two angles is $90^\circ $, then the angles are Complementary. Solution: The sum of two complementary angles is $90^\circ .$

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Question 31 Mark

Sum of interior angles on the same side of a transversal is ________.

Answer

Sum of interior angles on the same side of a transversal is $180^\circ $.
Solution:
Sum of interior angles on the same side of a transversal is $180^\circ .$

In the above figure, $x + y = 180^\circ .$

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Question 41 Mark

Two lines in a plane which do not meet at a point anywhere are called _________ lines.

Answer

Two lines in a plane which do not meet at a point anywhere are called Parallel lines. Solution: If two lines are parallel, then they will never meet each other.

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Question 51 Mark

The supplement of an acute is always __________ angle.

Answer

The supplement of an acute is always Obtuse angle. Solution: If angle is acute angle, then its supplement will be an obtuse angle. As, if we subtract an angle which is less than $90^\circ $ from $180^\circ $, then result will be an angle greater than $90^\circ .$

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Question 61 Mark

Alternate interior angles are on the _______ side of the transversal.

Answer

Alternate interior angles are on the Opposite side of the transversal.Solution:
Two alternate interior angles are on the opposite side of the transversal.

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Question 71 Mark

Alternate interior angles have one common __________ .

Answer

Alternate interior angles have one common Arm. Solution: Two alternate interior angles have one common arm.

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Question 81 Mark

Corresponding angles are on the ____________ side of the transversal.a

Answer

Corresponding angles are on the Same side of the transversal. Solution: Two corresponding angles are on the same side of the transversal.

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Question 91 Mark

The supplement of a right angle is always _________ angle.

Answer

The supplement of a right angle is always Right angle. Solution: Let x be the supplement of the right angle. Then, $x + 90^\circ = 180^\circ \Rightarrow x = 180^\circ - 90^\circ = 90^\circ $

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Question 101 Mark

An angle is $45^\circ $. Its complementary angle will be _________.

Answer

An angle is $45^\circ $. Its complementary angle will be $45^\circ $.
Solution: Let $x$ be the required angle. Then, $x + 45^\circ = 90^\circ \Rightarrow x = 90^\circ - 45^\circ = 45^\circ $

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Question 111 Mark

Two angles forming a ___________ pair are supplementary.

Answer

Two angles forming a Linear pair are supplementary. Solution : If two angles form a linear pair, then their sum will be $180^\circ .$ Hence, they are supplementary.

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Question 121 Mark

The supplement of an obtuse angle is always ________ angle.

Answer

The supplement of an obtuse angle is always Acute angle.
Solution:
The supplement of an obtuse angle is always an acute angle. As, if we subtract an obtuse angle from $180^\circ $, then result will be an acute angle, i.e. $90^\circ .$

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Question 131 Mark

An angle which is half of its supplement is of __________.

Answer

An angle which is half of its supplement is of $60^\circ .$
Solution: Let the required angle be $x.$
Then, its supplement will be $(180^\circ - x)$.
It is given that $x$ is the half of it supplement i.e. $(180^\circ - x).$
Therefoer, $\text{x}\frac{1}{2}(180^\circ-\text{x})$
$\Rightarrow2\text{x}=180^\circ-\text{x}$
$\Rightarrow2\text{x}+\text{x}=180^\circ$
$\Rightarrow3\text{x}=180^\circ$
$\Rightarrow\text{x}=\frac{180^\circ}{3}$
$\Rightarrow\text{x}=60^\circ$

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Question 141 Mark

If the sum of measures of two angles is $180^\circ $, then they are __________.

Answer

If the sum of measures of two angles is $180^\circ $, then they are Supplementary.
Solution: The sum of two supplementary angles is $180^\circ .$

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Question 151 Mark

A transversal intersects two or more than two lines at _________ points.

Answer

A transversal intersects two or more than two lines at Distinct points.
Solution:
A transversal intersects two or more than two lines at distinct points.

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Maths BLANKS [1 Marks Each]

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