Question
Using your protractor, draw an angle of measure 108°. With this angle as given, draw an angle of 54°.
✓
Answer
Draw a ray OA.
With the help of a protractor, construct an angle $\angle\text{AOB}$ of 108°.
Since, $\frac{108}{2}=54^{\circ}$
Therefore, 54° is half of 108°.
To get the angle of 54°, we need to bisect the angle of 108°.
With centre at O and a convenient radius, draw an arc cutting sides OA and OB at P and Q, respectively.
With centre at P and radius more than half of PQ, draw an arc.
With the same radius and centre at Q, draw another arc intersecting the previous arc at R.
Join O and R and extend it to X.
$\angle\text{AOX}$ is the required angle of 54°.
With the help of a protractor, construct an angle $\angle\text{AOB}$ of 108°.
Since, $\frac{108}{2}=54^{\circ}$
Therefore, 54° is half of 108°.
To get the angle of 54°, we need to bisect the angle of 108°.
With centre at O and a convenient radius, draw an arc cutting sides OA and OB at P and Q, respectively.
With centre at P and radius more than half of PQ, draw an arc.
With the same radius and centre at Q, draw another arc intersecting the previous arc at R.
Join O and R and extend it to X.
$\angle\text{AOX}$ is the required angle of 54°.
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