Question

# Step 4. Now, change the radius to R. Draw an arc such that it intersects line XY at E and line OD at F. Draw arcs with radius R and centres at E and F respectively such that they intersect at G. The ∠GOE is __. Note: Answer in degrees.

Solution

## Statement: Now change the radius to R. Draw an arc such that it intersects line XY at E and line OD at F. Draw arcs with radius R and centres at E and F respectively such that they intersect at G. The ∠GOE is 45∘. 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 ∠GOE=12∠DOA=45∘.

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