Question
Construct the angle with the help of ruler and compasses only:
90°
90°
✓
Answer
Draw a ray OA.
With a convenient radius and centre at O, draw an arc cutting the ray OA at P.
With the same radius and centre at P, draw another arc, which cuts the first arc at Q.
With the same radius and centre at Q, draw another arc, which cuts the first arc at R.
With Q and R as centres and radius more than half of QR, which cuts each other at S.
Draw OS and extend it to B from the ray OB.
$\angle\text{AOB}$ is required angle of 90°.
With a convenient radius and centre at O, draw an arc cutting the ray OA at P.
With the same radius and centre at P, draw another arc, which cuts the first arc at Q.
With the same radius and centre at Q, draw another arc, which cuts the first arc at R.
With Q and R as centres and radius more than half of QR, which cuts each other at S.
Draw OS and extend it to B from the ray OB.
$\angle\text{AOB}$ is required angle of 90°.
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