15. Construct angle 75º with the help of scale and compass.
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Answer:
(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°.
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First construct 90º
Then construct 60º
Then bisect it.
You will get 75º
Refer attachment ...
Hope it helps !
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