Question

How to construct a angle of 75° with the help of compass​

Answer 1

Step of Construction:

Step of Construction:(i) Take a ray OA.

Step of Construction:(i) Take a ray OA.(ii) With O as centre and any convenient radius, draw an arc cutting OA at C.

Step of Construction:(i) Take a ray OA.(ii) With O as centre and any convenient radius, draw an arc cutting OA at C.(iii) With C as centre and the same radius, draw an cutting the first arc at M.

Step of Construction:(i) Take a ray OA.(ii) With O as centre and any convenient radius, draw an arc cutting OA at C.(iii) With C as centre and the same radius, draw an cutting the first arc at M.(iv) With M as centre and the same radius, cut off an arc cutting again the first arc at L.

Step of Construction:(i) Take a ray OA.(ii) With O as centre and any convenient radius, draw an arc cutting OA at C.(iii) With C as centre and the same radius, draw an cutting the first arc at M.(iv) With M as centre and the same radius, cut off an arc cutting again the first arc at L.(v) With L and M as centre and radius of more than half of LM, draw two arcs cutting each other at B, join OB which is making 90°.

Step of Construction:(i) Take a ray OA.(ii) With O as centre and any convenient radius, draw an arc cutting OA at C.(iii) With C as centre and the same radius, draw an cutting the first arc at M.(iv) With M as centre and the same radius, cut off an arc cutting again the first arc at L.(v) With L and M as centre and radius of more than half of LM, draw two arcs cutting each other at B, join OB which is making 90°.(vi) Now with N and M as centres again draw two arcs cutting each other at P.

Step of Construction:(i) Take a ray OA.(ii) With O as centre and any convenient radius, draw an arc cutting OA at C.(iii) With C as centre and the same radius, draw an cutting the first arc at M.(iv) With M as centre and the same radius, cut off an arc cutting again the first arc at L.(v) With L and M as centre and radius of more than half of LM, draw two arcs cutting each other at B, join OB which is making 90°.(vi) Now with N and M as centres again draw two arcs cutting each other at P.(vii) Join OP.

Step of Construction:(i) Take a ray OA.(ii) With O as centre and any convenient radius, draw an arc cutting OA at C.(iii) With C as centre and the same radius, draw an cutting the first arc at M.(iv) With M as centre and the same radius, cut off an arc cutting again the first arc at L.(v) With L and M as centre and radius of more than half of LM, draw two arcs cutting each other at B, join OB which is making 90°.(vi) Now with N and M as centres again draw two arcs cutting each other at P.(vii) Join OP.Then, ∠POA = 75°.