Question
Construct with ruler and compass, angle of measure $120^\circ .$
✓
Answer
$i.\ $Draw any line $PQ$ and take a point $O$ on it.
$ii.\ $Place the pointer of the compasses at $O$ and draw an arc of convenient radius which cuts the line at $A.$
$iii.\ $Without disturbing the radius on the compasses, draw an arc with $A$ as centre which cuts the first arc at $B.$
$iv.\ $Again without disturbing the radius on the compasses and with $B$ as centre, draw an arc which cuts the first arc at $C.$
$v.\ $Join $OC$ and produce it to any point $R.$ Angle $ROQ = 120^\circ $
$ii.\ $Place the pointer of the compasses at $O$ and draw an arc of convenient radius which cuts the line at $A.$
$iii.\ $Without disturbing the radius on the compasses, draw an arc with $A$ as centre which cuts the first arc at $B.$
$iv.\ $Again without disturbing the radius on the compasses and with $B$ as centre, draw an arc which cuts the first arc at $C.$
$v.\ $Join $OC$ and produce it to any point $R.$ Angle $ROQ = 120^\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
Make five examples and find the greater number in each of them.
Given $\overline {AB}$ of length $3.9 \ cm,$ construct $\overline {PQ}$ such that the length of $\overline {PQ}$ is twice that of $\overline {AB}$. Verify by measurement. $($Hint : Construct $PX$ such that length of $PX =$ length of $AB ;$ then cut off $\overline {XQ}$ such that $\overline {XQ}$ also has the length of $\overline {AB}.)$
→Mark the correct alternative in the following: If six men can do a piece of work in $6$ days, then $3$ men can do same work in,
→The weights of new born babies (in kg) in a hospital on a particular day are as follows:
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9,
(i) Rearrange the weights in descending order.
(ii) Determine the highest weight.
(iii) Determine the lowest weight.
(iv) Determine the range.
(v) How many babies were born on that day?
(vi) How many babies weigh below 2.5 kg?
(vii) How many babies weigh more than 2.8 kg?
(viii) How many babies weigh 2.8 kg?
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9,
(i) Rearrange the weights in descending order.
(ii) Determine the highest weight.
(iii) Determine the lowest weight.
(iv) Determine the range.
(v) How many babies were born on that day?
(vi) How many babies weigh below 2.5 kg?
(vii) How many babies weigh more than 2.8 kg?
(viii) How many babies weigh 2.8 kg?
$14 :$ If $a, b, c, d$ are in proportion, then
→Draw a circle with centre $C$ and radius $3.4\ cm.$ Draw any chord $\overline {AB}$ . Construct the perpendicular bisector of $\overline {AB}$ and examine if it passes through $C,$ if $\overline {AB}$ happens to be a diameter.
→Match the following:
|
$(a)$
|
Area of a rectangle
|
$(i)$
|
$\pi\text{r}^2$
|
|
$(b)$
|
Area of a square
|
$(ii)$
|
$4 \times $ side
|
|
$(c)$
|
Perimeter of a rectangle
|
$(iii)$
|
$l \times b$
|
|
$(d)$
|
Perimeter of a square
|
$(iv)$
|
$(side)^2$
|
|
$(e)$
|
Area of a circle
|
$(v)$
|
$2(l + b)$
|
Draw a right angle and construct its bisector.
Find the least number of five digits that is exactly divisible by $16, 18, 24$ and $30.$
→Solve the following equation and verify the answer: $3(x + 6) + 2(x + 3) = 64$
→