Question

Construct with ruler and compass , angles of following measures: 60o,900, 1200​

Answer 1

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Class 9

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>>Construction of Various Angles

>>Construct angles of following measures u

Question

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Construct angles of following measures using ruler and compasses.

90

o

Easy

Solution

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We can construct a 90

∘

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.∠APT is 90

∘

.