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Question

Step 5. Draw 2 arcs with centres A and B respectively with radius R. If the arcs intersect at H, value of HOA is __.
Note: Answer in degrees.

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Solution

Statement: Draw 2 arcs with centres A and B respectively with radius R. If the arcs intersect at H, value of HOA is 30.
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.
Therefore, HOA=12AOB=30


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