using your protector draw an angle of 36°. with this angle draw an another angle of measure 72°
Answers
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
°
.
Step-by-step explanation:
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