Name: Construction of Angles 90º and 45º
Uploaded: 2019-07-19
Duration: 4 min 2 s
Description: When you stand up straight, what angle does your body produce with the ground? Let’s understand perpendiculars, and their bisectors, in this video.

Question

At a point

A

on the line segment

AB

, lets construct an angle

90 °

with the help of scale, pencil and compass. Further lets construct

120 °, 75 °

and

60 °

angles at the same point.

Accepted Answer

Let us draw any line segment $AB$ with scale and pencil.

Now, with centre $A$ and with any radius, lets draw an arc with compass, so that it cuts the line segment $AB$ at $C$ .

Next with centre $C$ and with the same radius, lets draw an arc which cuts the previous arc at $D$ .

Again with centre $D$ and with the same radius, let's draw another arc, to cut the first arc at $E$ .

Now, with centre $D$ and with same radius an arc is drawn.

Then with centre $E$ and with same radius an arc is drawn in same direction to cut the previous arc at $F$ .

Finally the point $A$ and $F$ are joined. $∠ FAB = 90 °$ .

Now, to draw $120 °$ , the points $E$ and $A$ are joined and extended. The angle is formed is $∠ EAB = 120 °$ .

Now, to draw $60 °$ , the points $D$ and $A$ are joined and extended. The angle is formed $∠ DAB = 60 °$ .

Again bisect $∠ FAD$ as $∠ FAD = 30 °$ .

Consider the intersection point of $FA$ and the arc as $L$ . Now, take the length of $LD$ and taking $D$ as centre draw an arc, then with $L$ as a centre draw another arc intersecting the previous arc at $K$ .

Here, $∠ KAB = 75 °$ .

At a point $A$ on the line segment $AB$ , lets construct an angle $90 °$ with the help of scale, pencil and compass. Further lets construct $120 °, 75 °$ and $60 °$ angles at the same point.

Important Questions on Drawing Angles With Compass

Learn and Prepare for any exam you want !

At a point A on the line segment AB, lets construct an angle 90° with the help of scale, pencil and compass. Further lets construct 120°, 75° and 60° angles at the same point.

Important Questions on Drawing Angles With Compass

Learn and Prepare for any exam you want !

At a point $A$ on the line segment $AB$ , lets construct an angle $90 °$ with the help of scale, pencil and compass. Further lets construct $120 °, 75 °$ and $60 °$ angles at the same point.