How to Construct Supplementary Angles in GeoGebra

You can easily create and display supplementary angles using GeoGebra.

GeoGebra Instruction 1

Adjacent Supplementary Angles

1.
Open Graphics View under GeoGebra icon View in GeoGebra icon Menu.
2.
Select Line GeoGebra icon and draw a line in Graphics View. You should also get two points on your line named A and B.
3.
Select Point on Object GeoGebra icon and draw a point that is between A and B. This point will get the name C.
4.
Select Point GeoGebra icon and draw a point outside of the line from the previous step. This point will get the name D.
5.
Select Angle GeoGebra icon and click

A, C and D,

in that order. Repeat for the points

D, C and B.

6.
Select Move GeoGebra icon and drag point D around. You’ll see that the sum of the two angles you drew is always 180.

GeoGebra Instruction 2

Nonadjacent Supplementary Angles

1.
Open Graphics View under GeoGebra icon View in GeoGebra icon Menu.
2.
Select Line GeoGebra icon. Click two points in the plane in Graphics View, but be sure to click the leftmost point first. You should get a line with two points named A and B, where A is the leftmost point of the two.
3.
Select Point GeoGebra icon and draw a point above the line from the previous step. This point will be given the name C.
4.
Select Segment GeoGebra icon and click B and C.
5.
Select Parallel line GeoGebra icon and click point A, then the line segment you drew in the previous step.
6.
Select Perpendicular Line GeoGebra icon and click point C, then the parallel line you drew in the previous step.
7.
Select Intersect GeoGebra icon and click the lines from Steps 5 and 6. This point should get the name D.
8.
Select Angle GeoGebra icon and click the points

C, B, and A,

in that order. After the angle is drawn, click the points

B, A, and D,

in that order.

9.
Select Move GeoGebra icon and drag point C around while making sure it’s always above the line. You’ll see that the sum of the two angles you drew is always 180.

Screenshot of GeoGebra showing two nonadjacent supplementary angles

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