# How to construct 45 degree angle without using protractor? (explain with picture)

We follow these steps to construct $\angle$ XYZ  = 45$°$

Step 1 :  Draw a line XY  .

Step 2 :  Now take any radius ( Less than half of XY ) and take center  " Y "  draw a semicircle that intersect our line XY at  " C " , With same radius and center is " C "  draw another arc that intersect our semicircle at "  D " and again with same radius and center " D "  draw another arc that intersect our semicircle at " E "

Step 5 :  With same radius and take center " D " and " E "  we draw two arcs that intersect at " F " . Now join YF  , line YF intersect our semicircle at  "  G "

Step 6 : With same radius and take center " C  " and " G "  we draw two arcs that intersect at " H ".

Step 7 :  Draw a line YH and extend it  Z . So ,  $\angle$ XYZ = 45$°$

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