How to construct an angle of 135 degree?
construct two 90 degree angles.
Bisect one of them.
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To construct an angle of 135 degrees, you can follow these steps:
1. Start by drawing a straight line segment as the base of the angle. Label the endpoints of the line segment as point A and point B.
2. Place the sharp end of a compass at point A and draw an arc that intersects the line segment.
3. Without changing the compass width, place the sharp end of the compass at the point where the arc intersects the line segment. Draw another arc that intersects the first arc.
4. Label the point where the two arcs intersect as point C.
5. Draw a straight line segment from point A through point C. This line segment should extend beyond point C.
6. Using a protractor, measure an angle of 45 degrees on the line segment you just drew. Label the point of intersection with the line segment as point D.
7. Draw a straight line segment from point C through point D. This line segment will form an angle of 135 degrees with the original line segment.
Now you have successfully constructed an angle of 135 degrees.