Question

construct an angle 150 and write the steps off construction briefly​

Answer 1

Answer:

take a line and make three arc of 60 120 180 and fix compass on 180 angle and arc.

Join both arc which are made by 120 and 180 angle join the arc to the line from the centre of the arc.

Step-by-step explanation:

Hope it will help you❇️

Answer 2

To construct 150 degree angle we first construct 60 degree angle and its steps are as follows -

1). Use Ruler - Draw a Line segment QR of any convenient length.


2). Now use compass and open it to any convenient radius. And with Q as center draw an arc which cuts line segment QR at y .


3). Again use compass and opened to the same radius (as of step 2). And With y as center , draw an arc which cuts previous arc at X .



4). Join QX and extent it to P .



5). Above formed angle PQR = 60 Degree

6). Extend RQ to S



7). Now Angle PQS = 120 degree (as per Angle Sum Property);



Now, to construct at 150 degree angle, we will construct the angle bisector of above angle PQR. And its done in the following steps:

8). Now use compass and open it to any convenient radius. And with Q as center , draw an arc which cuts QR at B and PQ at A .



9). Again use compass and open it to same radius (as of step 8). And with A & B as center, draw two arcs which cut each other at point C



10). Join QC and extend to T



11). QT is the bisector of Angle PQR
Therefore, Angle PQT = Angle TQR = half of Angle PQR
Angle PQR = 60 degree (see step 5)
So half of angle PQR = 60/2 = 30 degree
Therefore, Angle PQT = Angle TQR = 30 degree



12). Now observe that:
Angle PQS = 120° (as per step 7)
Angle PQT = 30° (as per step 11)

Add both the angles and we get
Angle PQS + Angle PQT = 120° + 30° ..... (Statement 1)

Now observe the diagram:
Angle PQS + Angle PQT = Angle SQT ..... (Statement 2)

From Statement 1 and 2, we get:
Angle SQT = 150° (as highlighted with pink color)