Question

Construct 90 degrees with compass along with steps of construction.​

Answer 1

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We can construct a 90º angle either by bisecting a straight angle or using the following steps.

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$\bold\pink{\fbox{\sf{Step\: 1: }}}$ Draw the arm PA.

$\bold\pink{\fbox{\sf{Step\: 2: }}}$Step 2: Place the point of the compass at P and draw an arc that cuts the arm at Q.

$\bold\pink{\fbox{\sf{Step\: 3: }}}$ Place the point of the compass at Q and draw an arc of radius PQ that cuts the arc drawn in Step 2 at R.

$\bold\pink{\fbox{\sf{Step\: 4:}}}$ With the point of the compass at R, draw an arc of radius PQ to cut the arc drawn in Step 2 at S.

$\bold\pink{\fbox{\sf{Step\: 5:}}}$ With the point of the compass still at R, draw another arc of radius PQ near T as shown.

$\bold\pink{\fbox{\sf{Step\: 6:}}}$With the point of the compass at S, draw an arc of radius PQ to cut the arc drawn in step 5 at T.

$\bold\pink{\fbox{\sf{Step\: 7: }}}$ Join T to P. The angle APT is 90º

~Refer the attachment for the diagram :)

Thankyou :)