120k views
3 votes
Draw A parallelogram with a 20 angle and a 160 angle

User Will Baker
by
7.2k points

1 Answer

6 votes

Answer:

see attached

Explanation:

You want a parallelogram with angles of 20° and 160°.

Angle

The drawing will start with a line for one side. An angle of 20° can be drawn using a protractor, geometry app, or by approximating its slope.

The slope of a line 20° from the x-axis is tan(20°) ≈ 0.36397. A line with a slope of 4/11 = 0.3636... will have an angle of about 19.983° from the x-axis. For accuracy you can expect in a hand-drawn figure, this is "close enough." It is probably closer to 20° than you could draw using a protractor.

Drawing

A parallelogram with the required angles is shown in the attachment. Point B is 11 units right and 4 units up from point A, so the angle at A is 20° when rounded to the nearest tenth.

__

Additional comment

Another very close approximation of tan(20°) is 9.9/27.2. A line with that slope makes an angle of 20.00002° with the x-axis.

Draw A parallelogram with a 20 angle and a 160 angle-example-1
User Maxkoryukov
by
6.8k points