Question
Draw a line segment AB = 6 cm. Without using set squares, draw angle OAB = 60° and angle OBA = 90°. Measure angle AOB and write this measurement.
✓
Answer
Steps of construction:
- Draw a line segment AB = 6 cm
- At A, draw a ray making an angle of 60° with the help of a compass.
- At B, draw another ray making an angle of 90° which meet each other at O.
Now on measuring ∠AOB, it is 30°
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
Find the L.C.M. of the following, use common division method : 20, 25, 30, 45
Find the L.C.M. of the following, use common division method : 15, 18, 20, 27
Solve the following equation $: 2x \div 3 = 7$
→i. In each of the following patterns, construct next figure.
ii. In each case, if $n$ denotes the number of figure and $F$ denotes the number of matchsticks used, find $F$ in terms of $n$.
iii. Also find, in each case, how many matches are required to make the: $16$ th figure and 30th figure.
a.
b.
c.
d.
e.
f.
→ii. In each case, if $n$ denotes the number of figure and $F$ denotes the number of matchsticks used, find $F$ in terms of $n$.
iii. Also find, in each case, how many matches are required to make the: $16$ th figure and 30th figure.
a.
b.
c.
d.
e.
f.
A drum of kerosene is $\frac{3}{4}$ full. When 30 litres of kerosene is drawn from it, it remains $\frac{7}{12}$ full.
1. The capacity of the drum is :
(a) $120 l$$\quad$(b) $150 l$$\quad$(c) $180 l$$\quad$(d) $168 l$
2. The quantity of kerosene in the drum is:
(a) $135 l$$\quad$(b) $115 l$$\quad$(c) $125 l$$\quad$(d) $108 l$
3. If $15 l$ of kerosene is added to the drum, what fraction of the capacity would be filled?
(a) $\frac{1}{2}$$\quad$(b) $\frac{2}{3}$$\quad$(c) $\frac{5}{6}$$\quad$(d) $\frac{5}{12}$
4. If $35 l$ of kerosene is drawn from the drum, what fraction of the capacity would be filled?
(a) $\frac{5}{9}$$\quad$(b) $\frac{7}{9}$$\quad$(c) $\frac{11}{18}$$\quad$(d) $\frac{13}{18}$
→1. The capacity of the drum is :
(a) $120 l$$\quad$(b) $150 l$$\quad$(c) $180 l$$\quad$(d) $168 l$
2. The quantity of kerosene in the drum is:
(a) $135 l$$\quad$(b) $115 l$$\quad$(c) $125 l$$\quad$(d) $108 l$
3. If $15 l$ of kerosene is added to the drum, what fraction of the capacity would be filled?
(a) $\frac{1}{2}$$\quad$(b) $\frac{2}{3}$$\quad$(c) $\frac{5}{6}$$\quad$(d) $\frac{5}{12}$
4. If $35 l$ of kerosene is drawn from the drum, what fraction of the capacity would be filled?
(a) $\frac{5}{9}$$\quad$(b) $\frac{7}{9}$$\quad$(c) $\frac{11}{18}$$\quad$(d) $\frac{13}{18}$
If each of the two equal angles of an isosceles triangle is 68°, find the third angle.
Find the L.C.M. of the following, use common division method : 12, 15, 18, 24
Construct a triangle PQR in which, PQ = QR = RP = 5.7 cm. Draw the incircle of the triangle and measure its radius.
Simplify:
$\frac{3}{4} \times 1 \frac{1}{3} \div \frac{3}{7} \text { of } 2 \frac{5}{8}$
→$\frac{3}{4} \times 1 \frac{1}{3} \div \frac{3}{7} \text { of } 2 \frac{5}{8}$
A water tank can hold $56 \frac{1}{4}$ litres of water. How much water is contained in the tank when it is $\frac{8}{15}$ full?
→