2 Marks Questions

Question 12 Marks

In the given figure, list the points:

$i.\ $Are in the interior of $\angle\text{AOB}.$
$ii.\ $Are in the exterior of $\angle\text{AOB}.$
$iii.\ $lie on $\angle\text{AOB}.$

Answer

In given figure:
$i.\ $Points $S$ and $Q$ are in the interior of $\angle\text{AOB}.$
$ii.\ $Points $P$ and $R$ are in the exterior of $\angle\text{AOB}.$
$iii.\ $Points $A, O, B, N, T$ lie on $\angle\text{AOB}.$

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Question 22 Marks

Construct the following angles with help of a protractor: $23^\circ $

Answer

Draw a ray $OP$. Place the protractor in such a way that its centre lies exactly at $O$ and the base line lies along $OP.$ Starting from $0^\circ $ on the side of $P$, look for the $23^\circ $ mark on the protractor. Mark a point $Q$ at this $23^\circ $ mark. Remove the protractor and draw the ray $OQ$. Then $\angle\text{POQ}$ is the required angle whose measure is $23^\circ .$

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Question 32 Marks

Construct the following angles with help of a protractor: $72^\circ $

Answer

Draw a ray $OA$. Place the protractor in such a way that its centre lies exactly at $O$ and the base line lies along $OA$. Starting from $0^\circ $ on the side of A, look for the $72^\circ $ mark on the protractor. Mark a point $B$ at this $72^\circ $ mark. Remove the protractor and draw the ray $OB.$ Then, $\angle\text{AOB}$ is the required angle of measure $72^\circ .$

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Question 42 Marks

Name three examples of angles from your daily life.

Answer

$i.\ $Angle formed at the vertex of our elbow with the upper arm and the lower arm as the two rays. This angle will vary as per the position of our arm.
$ii.\ $Angle formed between the two hands of the clock that are hinged at a point.
$iii.\ $Angle formed between the two hands of a windmill. They are also hinged at a point, which is called the vertex of that angle.

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Question 52 Marks

Construct the following angles with help of a protractor: $180^\circ $

Answer

Draw a ray $OA$. Place the protractor in such a way that its centre lies exactly at $O$ and the base line lies along $OA$. Starting from $0^\circ $ on the side of $A$. Took for the $180^\circ $ mark on the protractor. Mark a point $B$ on this $180^\circ $ mark. Remove the protractor and draw the ray $OB.$ Then $\angle\text{AOB}$ is the required angle whose measure is $180^\circ .$

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Question 62 Marks

Construct the following angles with help of a protractor:
$25^\circ $

Answer

Draw a ray $OA$. Place the protractor in such a way that its centre lies exactly at $O$ and the base line lies along $OA$. Starting from $0^\circ $ on the side of $A$, look for the $25^\circ $ mark on the protractor. Mark a point $B$ at this $25^\circ $ mark. Remove the protractor and draw the ray OB. Then $\angle\text{AOB}$ is the required angle.

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Question 72 Marks

Construct the following angles with help of a protractor:
$90^\circ $

Answer

Draw a ray $OA$. Place the protractor in such a way that its centre lies exactly at $O$ and the base line lies along $OA$. Starting from $0^\circ $ on the side of A, look for the $90^\circ $ mark on the protractor. Mark a point $B$ at this $90^\circ $ mark. Remove the protractor and draw the ray $OB$. Then $\angle\text{AOB}$ is the required angle whose measure is $90^\circ .$

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Question 82 Marks

Construct the following angles with help of a protractor:$ 48^\circ $

Answer

Draw a ray $RS$. Place the protractor in such away that its centre lies exactly at $R$ and the base line lies along $RS.$ Starting from $0^\circ $ on the side of $S$, look for the $48^\circ $ mark on the protractor. Mark a point $T$ at this $48^\circ $ mark. Remove the protractor and draw the ray $RT.$ Then, $\angle\text{SRT}$ is the required angle whose measure is $48^\circ .$

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Question 92 Marks

In the adjoining figure, write another name for:

$i.\ \angle1$
$ii.\ \angle2$
$iii.\ \angle3$

Answer

In the given figure, another name for:
$i.\ \angle1\text{ is }\angle\text{EPB}$
$ii.\ \angle2\text{ is }\angle\text{PQC}$
$iii.\ \angle3\text{ is }\angle\text{FQD}$

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Question 102 Marks

Construct the following angles with help of a protractor: $117^\circ $

Answer

Draw a ray $OA$. Place the protractor in such a way that its centre exactly lies at $O$ and the base line lies along $OA$. Starting from 0° on the side of $A$, look for the $170^\circ $ mark on the protractor. Mark a point $B$ at this $170^\circ $ mark. Remove the protractor and draw the ray $OB$. Then $\angle AOB$ is the required angle whose measure is $170^\circ $.

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Maths 2 Marks Questions

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