how to draw a 150 degree angle with a ruler and a compass

Dear Student!

Here is the answer to your question.
 
Follow the steps to draw an angle of 150°
 
Step 1: Draw a line AB.
 
 
Step 2: With O as centre and a suitable radius, draw an arc intersecting AB in C and D.
∴ ∠AOB = 180°
 
Step 3: With D as centre and same radius, draw an arc intersecting the previous arc in E. Join OE.
∴ ∠BOE = 60°.
 
Step 4: Draw OF as the bisector of ∠BOE.
∴ ∠BOF = 30°.
 
Now, ∠AOF = ∠AOB ∠BOF = 180°  30° = 150°.
 
Cheers!

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