Question

Draw 72° angle with spectacle . Then divide the angle between two parts with compass.

Answer 1

Answer:

Draw a ray OA.

With the help of a protractor, draw an angle ∠AOB of 72

°

.

With a convenient radius and centre at O, draw an arc cutting sides OA and OB at P and Q, respectively.

With P and Q as centres and radius more than half of PQ, draw two arcs cutting each other at R.

Join O and R and extend it to X.

OR intersects arc PQ at C.

With C and Q as centres and radius more than half of CQ, draw two arcs cutting each other at T.

Join O and T and extend it to Y.

Now, OX bisects ∠AOB

Therefore, ∠AOX=∠BOX=

2

72

=36

°

Again, OY bisects ∠BOX

Therefore, ∠XOY=∠BOY=

2

36

=18

°

Therefore, ∠AOX is the required angle of 36

°

and ∠AOY=∠AOX+∠XOY=36

°

+18

°

=54

°

The diagram is shown the above image.

Therefore, ∠AOY is the required angle of 54

°

.

solution