Steps to construct 75° angle with compass and ruler are provided.

Construction of 75º Angle

Step 1-

Draw a line AB

Step 2-

Draw an arc with A as a centre which cuts AB at point C.

 

Step 3-

Draw another arc with same radius at c that cuts arc at point D.

 

Step 4-

Draw an arc with D as a centre taking same radius which cuts arc at E.

 

Step 5-

Draw an arc taking radius more than half of the arc DE from point D and E.

 

Step 6-

Mark the point of intersection as F. Join F to A. ∠FAB = 90⁰

 

Step 7-

FA cuts arc at point G.Take radius half more than arc GD. Make arc of this radius from point G and D. It will intersect at point H. Join H and A. ∠HAB = 75⁰

 

 

Helping Topics

Practical Geometry

Construction of 30° angle

Construction of 60° angle

Construction of 90° angle

Construction of 105° angle

Construction of 120° angle