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Question

Step 3: With r as radius, draw arcs with B and C as centres. The point of intersection of the arcs is point D. DOA is__
Note: Answer in degrees.

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Solution

Statement: With r as radius, draw arcs with B and C as centre. The point of intersection of the arcs is point D.
DOA is 90.
Reason: When we take a fixed radius and draw two arcs by putting the compass pointer at both the arms forming an angle such that the arcs intersect each other, the point of intersection actually bisects that angle. So, DOA=AOB+BOD=60+30=90.

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