Constructions

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Step 1: Draw line segment OA. Step 2: With O as centre, draw an arc cutting OA at B. Step 3: With B as centre and same radius, draw an arc cutting the first arc at C. Step 4: Join OC. ∠AOC = 60°.

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Step 1: With vertex O as centre, draw an arc cutting both arms at P and Q. Step 2: With P and Q as centres, draw arcs of equal radius intersecting at R. Step 3: Join OR. OR bisects the angle into two …

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Step 1: With O as centre, draw an arc cutting OA at B. Step 2: With B as centre, draw arc cutting first arc at C. Step 3: With C as centre, draw another arc cutting at D. Step 4: With C and D as centr…

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Step 1: First construct a 90° angle. Step 2: Bisect it using compass. The bisector divides 90° into two 45° angles. Final angle = 45°.

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Step 1: Construct a 60° angle. Step 2: Bisect it. Each half is 30°. ∠ = 30°.

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Step 1: With O as centre, draw arc cutting OA at B. Step 2: With B as centre, draw arc cutting first arc at C. Step 3: With C as centre, draw another arc cutting at D. Step 4: Join OD. ∠AOD = 120°.

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Step 1: Draw a 90° angle. Step 2: On the adjacent side, construct another 90° angle. Step 3: Bisect the second 90° angle to get 45°. Step 4: Total = 90° + 45° = 135°.

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Step 1: Construct 90° angle. Step 2: Construct 60° angle at same point. Step 3: The difference is 30°. Bisect this 30° to get 15°. Step 4: 60° + 15° = 75°.