Drawing reflex angles worksheets

To draw a 285° angle with a tool that stops at 180°, you have to do a sum first. These free printable worksheets give one arm of each angle and a size above 180°, and the child draws the other arm and marks the angle.

Drawing reflex angles
Drawing reflex angles worksheet — Angles over 180°, one arm given, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

The quick way is to subtract from 360°. An angle of 285° counterclockwise from BA leaves 75° on the other side, so the child measures 75° clockwise from BA, draws the arm, and then marks the long way around with an arc. The drawing is easy after that. What the child has to get right is the sum, and the side it goes on.

Why this sheet works

The side matters, and that is why the instruction names a direction. Two different drawings could both be called a 285° angle at B, turned one way or the other, and without a direction a correct child could be marked wrong. Every question on the sheet turns counterclockwise from BA, so the sheet and the key agree.

How this one works

Draw an angle

readvsset
origin on B+zero on BA
285°not75°
mark→draw→arc
  1. This time you set the angle yourself, starting from the ray BA.
  2. Origin on B, zero line along the given ray BA. If either is off, the whole angle is off.
  3. Count from the zero that sits on BA. The other scale would give 75° instead.
  4. Mark the degree, take the protractor away, and draw BC through the mark with a straightedge. Mark the angle with a small arc.