# Construct an angle of 52 1/2 degree

**Construct 105 degree angle using Ruler and Compass**

The following steps are carried out to construct 105 degree angle.

Step 1: Draw a ray with end point A and B using a ruler.

Step 2: With A as center and any radius, draw an arc cutting the ray at point C using a compass.

Step 3: With C as center and the same radius, draw an arc cutting the arc drawn at D.

Step 4: With D as center and the same radius, draw an arc again intersecting the previously drawn arc at E.

Step 5: Now, take any radius and draw two arcs with D and E as centers. Let these two arcs intersect at a point F.

Step 6: Join AF ∠FAB obtained is the angle of measure of 90 degree.

Step 7: The line AF intersect the arc at the point named as G.

Step 8: With G and E as center draw an arc with same radius. The arc intersect at the point P.

Step 9: Join the point P and A. ∠PAB obtained is the angle of measurement 105 degree with reference to reference line AB.

Step 10:105 degree angle.

Now bisecting this angle will give angle 105/2 degree

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