Construct an angle of 135°.

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Solution

Steps of construction:
1. Draw a line XY.
2. Take a point A on XY.
3. With A as centre, draw a semi circle, cutting XY at P and Q.
4. Construct $∠$ YAC = 90 $°$ .
5. Draw AB, bisector of $∠$ XAC.
Thus, $∠$ YAB = 135 $°$

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