Question

Draw an angle of 45º measure. Construct a circle such that it touches
both the arms of the angle.
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Answer 1

Steps of Construction for an Angle of 45 °

1.) Construct a line XY of length 6 cm (say)

2.) Mark any Point A upon XY.

3.) With A as the center, draw a line LA perpendicular to XY such that \angle LAY∠LAY = 90°.

4.) Again with A as the center, taking any radius, draw an arc from the center A, cutting LA & AY at M & N respectively.

5.) Taking any radius in compass, draw two arcs, each from M & N, intersecting each other at P. (Bisected 90°)

\angle∠ PAY = 45°, required angle is constructed in 5 steps