Q. 1 B4.2( 15 Votes )

Construct the fol

Answer :

Construction of angle of 45°


Steps of construction:


Step 1: Draw a ray OA.



Step 2: With its initial point O as center and any radius, draw an arc, cutting OA at B.



Step 3: With center B and same radius (as in step 2), cut the previous drawn arc at C.



Step 4: With C as center and the same radius, draw an arc cutting the arc drawn in step 2 cutting at D.



Step 5: With D and E as centers and any convenient radius (more than DE). Draw to two arcs intersecting at E.



Step 6: Join OE. Then AOE = 90°



Step 7: Draw the bisector ‘OF’ of AOE. Then, AOF = 45°



Justification: -


By construction, AOE = 90° and OF is the bisector of AOE.


Therefore,


AOF = AOE


=


= 45°


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