create a 90 degree angle
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Constructing a 90º Angle
We can construct a 90º angle either by bisecting a straight angle or using the following steps.
Step 1: Draw the arm PA.
Step 2: Place the point of the compass at P and draw an arc that cuts the arm at Q.
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.
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.
Step 5: With the point of the compass still at R, draw another arc of radius PQ near T as shown.
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.
Step 7: Join T to P. The angle APT is 90º.
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Answer:
- Draw the line AB.
- Place the point of the compass at A and draw an arc that cuts the line at C.
- Place point of compass at C and draw an arc of radius AC that cuts the arc at D.
- Place the point of compass at D and Draw an arc of radius AC to cut the arc at E.
- Place the point of compass at D and Draw another arc of radius AC near F.
- Place the point of compass at E and draw an arc of radius AC to cut the arc at F
- Join F to A .
- The angle BAF is 90°.
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