Question

how to construct an angle of 75°

Answer 1

Hey....

to construct an angle of 75 degree.

draw angle of 90 degree.

then by putting ur compass on the point of intersection (D)

and also by putting on the arc of 60 degree (C)

then draw two arcs by putting ur compass on C and D that intersect each other at point E.

then join OE.

so angle XOA = 75 degree.

shown in rough figure.

Answer 2

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