Question
Construct with ruler and compasses, angles of measure: $120^\circ $
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Answer
The below given steps will be followed to construct an angle of $120^\circ .$
$1.$Draw a line $l$ and mark a point $P$ on it. Now taking $P$ as centre and with a convenient radius, draw an arc of a circle which intersects line $l$ at $Q.$
$2.$Taking $Q$ as centre and with the same radius as before, draw an arc intersecting the previously drawn arc at $R.$
$3.$Taking $R$ as centre and with the same radius as before, draw an arc intersecting the arc at $S ($see figure$).$
$4.$Join $PS,$ which is the required ray making $120^\circ $ with line $l.$
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The bar graph shown in represents the circulation of newspapers in $10$ languages. Study the graph and answer the following questions:
$i.\ $What is the total number of newspapers published in Hindi, English, Urdu, Punjabi, and Bengali?
$ii.\ $What percent is the number of newspapers published in Hindi of the total number of newspapers?
$iii.\ $Find the excess of the number of newspapers published in English over those published in Urdu.
$iv.\ $Name two pairs of languages which publish the same number of newspapers.
$v.\ $State the language, in which the smallest number of newspapers is published,
$vi.\ $State the language in which the largest number of newspapers is published.
$vii.\ $State the language in which the number of newspapers published is between $2500$ and $3500.$
$viii.\ $State whether true or false:
$a.\ $The number of newspapers published in Malayalam and Marathi together is less than those published in English.
$b.\ $The number of newspapers published in Telugu is more than those published in Tamil.
→$i.\ $What is the total number of newspapers published in Hindi, English, Urdu, Punjabi, and Bengali?
$ii.\ $What percent is the number of newspapers published in Hindi of the total number of newspapers?
$iii.\ $Find the excess of the number of newspapers published in English over those published in Urdu.
$iv.\ $Name two pairs of languages which publish the same number of newspapers.
$v.\ $State the language, in which the smallest number of newspapers is published,
$vi.\ $State the language in which the largest number of newspapers is published.
$vii.\ $State the language in which the number of newspapers published is between $2500$ and $3500.$
$viii.\ $State whether true or false:
$a.\ $The number of newspapers published in Malayalam and Marathi together is less than those published in English.
$b.\ $The number of newspapers published in Telugu is more than those published in Tamil.
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