Construct the following angles using ruler and compass and verify by measuring them by a protractor.

15o


Steps of construction:


Step 5: Draw a ray OA.



Step 6: With its initial point O as centre and any radius, draw an arc, cutting OA at C.



Step 7: With centre C and same radius (as in step 2). Draw an arc, cutting the arc of step 2 in D.



Step 8: With C and D as centres, and any convenient radius (more than CD), draw two arcs intersecting at B. join OB. Then AOB = 30°



Step 9: Bisect AOB intersecting at D.


Thus AOD is required angle.



Verification:


On measuring AOB, with the protractor,


we find AOB = 15°.


Thus AOD = 15°


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