Question
Using ruler and compasses, construct the following angle:
30°
30°
✓
Answer
Steps of Construction:
(i) Draw a line segment $B C$.
(ii) With centre $B$ and a suitable radius draw an arc meeting $B C$ at
P.
(iii) With centre $P$ and with the same radius cut off the arc at $Q$.
(iv) Now with centre P and Q draw two arcs intersecting each other at $R$.
(v) Join $B R$ and produce it to $A$, forming $\angle A B C=30^{\circ}$
(i) Draw a line segment $B C$.
(ii) With centre $B$ and a suitable radius draw an arc meeting $B C$ at
P.
(iii) With centre $P$ and with the same radius cut off the arc at $Q$.
(iv) Now with centre P and Q draw two arcs intersecting each other at $R$.
(v) Join $B R$ and produce it to $A$, forming $\angle A B C=30^{\circ}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A box contains 3 yellow, 4 green, and 8 blue tickets. A ticket is chosen at random. Find the probability that the ticket is:
(i) yellow
(ii) green
(iii) blue
(iv) red
(v) not yellow
(i) yellow
(ii) green
(iii) blue
(iv) red
(v) not yellow
A can do a piece of work in 6 days and B can do it in 8 days. How long will they take to complete it together?
In the given figure, the directed lines are parallel to each other. Find the unknown angles.
In the given figure, BI is the bisector of ∠ABC and Cl is the bisector of ∠ACB. Find ∠BIC.
Evaluate: $\left(2^2\right)^0+2^{-4} \div 2^{-6}+\left(\frac{1}{2}\right)^{-3}$
→Find the median of 18, 19, 20, 23, 22, 20, 17, 19, 25 and 21
Find three consecutive natural numbers such that the sum of the first and the second is 15 more than the third.
The area of a rectangular field is 25x2 + 20xy + 3y2 square unit. If its length is 5x + 3y unit, find its breadth, Hence find its perimeter.
Rajan runs a typing company that processes the manuscript obtained from publishing companies. There are two proceses in his work typing and typesetting. He owns a team each for the two processes. He received a manucript from a publishing company RBC. He knows that his team of 25 typists can type 225 pages in a day. Also, his team of 7 typesetters can typeset 90 pages in 5 days.
Q.1. If the manuscript from RBC needs 1350 pages to be typed, how many days will Rajan's team take to type it?
(a) 5 $\quad$$\quad$(b) 6 $\quad$$\quad$(c) 7 $\quad$$\quad$(d) 9
Q.2. If Rajan employs 5 more typists in his team, in how many days can the work of RBC be completed?
(a) 4$\quad$$\quad$ (b) 5 $\quad$$\quad$(c) 6$\quad$$\quad$ (d) 8
Q.3. In how many days will Rajan's team of typesetters typeset the work from RBC?
(a) 50 $\quad$$\quad$(b) 60$\quad$$\quad$ (c) 75 $\quad$$\quad$(d) 85
Q.4. If typesetting work begins only after the typing work is finished, what is the least number of days Rajan needs to get the work from RBC done by his existing team of 30 typists and 7 typesetters?
(a) 75 $\quad$$\quad$(b) 80 $\quad$$\quad$(c) 81 $\quad$$\quad$(d) 85
→Q.1. If the manuscript from RBC needs 1350 pages to be typed, how many days will Rajan's team take to type it?
(a) 5 $\quad$$\quad$(b) 6 $\quad$$\quad$(c) 7 $\quad$$\quad$(d) 9
Q.2. If Rajan employs 5 more typists in his team, in how many days can the work of RBC be completed?
(a) 4$\quad$$\quad$ (b) 5 $\quad$$\quad$(c) 6$\quad$$\quad$ (d) 8
Q.3. In how many days will Rajan's team of typesetters typeset the work from RBC?
(a) 50 $\quad$$\quad$(b) 60$\quad$$\quad$ (c) 75 $\quad$$\quad$(d) 85
Q.4. If typesetting work begins only after the typing work is finished, what is the least number of days Rajan needs to get the work from RBC done by his existing team of 30 typists and 7 typesetters?
(a) 75 $\quad$$\quad$(b) 80 $\quad$$\quad$(c) 81 $\quad$$\quad$(d) 85
A compositor takes 1 hour 45 minutes to compose 24 pages of a book. How long will he take to compose 64 pages?