Question
Draw an angle equal to $\triangle\text{AOB},$ given in the adjoining figure.

Answer


Here $\angle\text{AOB}$ is given.
Steps for construction:
  1. Draw a ray QP.
  2. With O as the centre and any suitable radius, draw an arc cutting OA and OB at C and E, respectively.
  3. With Q as the centre and the same radius as in step (2), draw an arc cutting QP at D.
  4. With D as the centre and radius equal to CE, cut the arc through D at F.
  5. Draw QF and produce it to point R.
$\therefore\ \angle\text{PQR}=\angle\text{AOB}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Draw a line AB and take two points C and E on opposite sides of AB. Through C, draw $\text{CD}\perp\text{AB}$ and through E draw $\text{EF}\perp\text{AB}.$ Using ruler and compassed.
Draw a pair of vertically opposite angles. Bisect each of the two angles. Verify that the bisecting rays are in the same line.
Construct an angle bisector to draw an angle of 45°.
Draw a quadrilateral. Draw one diagonal of this quadrilateral and divided it into two triangles. Measures all the angles in the figure. Is the sum of the measures of the four angles of the quadrilateral equal to the sum of the measures of the six angles of the two triangles? Verity that this is so with other quadrilaterals.
In a mathematics test following marks were obtained by 40 students of class VI. Arrange these marks in a table using, tally marks.
8
1
3
7
6
5
5
4
4
2
4
9
5
3
7
1
6
5
2
7
7
3
8
4
2
8
9
5
8
6
7
4
5
6
9
6
4
4
6
6
  1. Find how many students obtained marks equal to or more than 7?
  2. How many students obtained marks below 4?
The following data gives the number (in thousands) of applicants registered with a divisions = 20 thousand tonnes.
Year
1995
1996
1997
1998
1999
2000
Number of applicants registered (in thousands)
18
20
24
28
30
34
Construct a bar graph to represent the above data.
Find the largest number which divides 630 and 940 leaving remainders 6 and 4 respectively.
Using a protractor, draw $\angle\text{BAC}$ of measure 45°. Take a point P in the interior of $\angle\text{BAC}.$ From P draw line segments PM and PN such that $\text{PM}\perp\text{AB}$ and $\text{PN}\perp\text{AC},$ Measure $\angle\text{MPN}.$
Ravish's house is $\frac{9}{10}\text{km}$ from his school. He walked some distance and then took a bus for $\frac{1}{2}\text{km}$ up to the school. How far did he walk?
The following bar graph shows the number of persons killed in industrial accidents in a country for some years.

Read the bar graph and choose the correct alternative in each of the following:
  1. The year which shows the maximum percentage increase in the number of persons killed in coal mines over the precending year is:
  1. 1996
  2. 1997
  3. 1999
  4. 2000
  1. The year which shows the maximum decrease in the number of persons killed in industrial accidents over the precending year is:
  1. 1996
  2. 1997
  3. 1998
  4. 1999
  1. The year in which the maximum number of persons were killed in industrial accidents other than those killed in coal mines is:
  1. 1995
  2. 1997
  3. 1998
  4. 1999