How to Construct a 75 Degree AngleConstruct a 75 Degree Angle:
Construct 75 Degree Angle using Compass
The following steps are carried out to construct 75 degree-angle.
Step 1: Draw a ray with end point A and B.
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 D as center draw an arc with radius more than half of the measurement (GD).The arc intersect at the point P.
Step 9: Join the point P and A.∠PAB obtained is the angle of measurement 75 degree.
Step 10: 75 degree angle