Question

How to draw angle of 75 andc120 degree with compas

Answer 1

Construction of 75° angle:



Step 1: Draw a line AB and mark a point O on it.

Step 2: Draw a ray OP such that  ∠AOP = 90°

Step 3: Now draw another ray OQ such that ∠AOQ = 60°

Step 4: Draw the bisector of ∠POQ = 30°. Mark the bisector as OR.

Step 5: Hence ∠AOR =75°

 

Answer 2

HEYA!!!!

You can draw and angle of 75° with compass by following the steps below:
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.


Now, for 120°, Follow these ones:

1). Use Ruler and draw a Line segment BC of any convenient length.

2). Now use compass and open it to any convenient radius. And with B as center , draw an arc which cuts line segment BC at Q .

3). Again use compass and opened to the same radius (as of step 2). And with Q as center , draw an arc which cuts first arc at R .

4). Again use compass and opened to the same radius (as of step 2). And with R as center , draw another arc which cuts first arc at P .

5). Join BP and extent it to A .

6. The figure obtained is the angle of 120°.


HOPE IT HELPS!!!