Learning about Angle Relations
We have two scenarios in which we learn angle relations:
two lines intersecting, and two parallel lines with a transversal. (so two parallel lines with another line cutting across them)
Two Intersecting Lines - Supplementary Angles
Supplementary Angles
Supplementary Angles are any angles that add to 180.
If the two angles sit on the same line (such as above), we also call them "Straight Angles" because they sit on a straight line.
Two Intersecting Lines - Vertically Opposite Angles
Vertically Opposite Angles
Vertically Opposite Angles are located at the intersection of two lines, on opposite sides of the cross.
Unlike Straight Angles, they do not share a side.
They are also equivalent in size.
Alternate Angles
Alternate Angles
Alternate Angles sit on alternating sides of the Transversal.
They are easily spotted if they are inside the parallel lines.
They can also be identified by noticing the Z shape made by the side involved with angles.
They are of equivalent size.
Co-Interior Angles
Co-Interior Angles
Co-Interior Angles sit inside the parallel lines, and on the SAME side of the Transversal.
They can also be identified by noticing the C shape made by the side involved with angles.
They are Supplementary.
Co-Exterior Angles
Co-Exterior Angles
Co-Exterior Angles sit outside the parallel lines, and on the SAME side of the Transversal.
They are also Supplementary.
Corresponding Angles
Corresponding Angles
Corresponding Angles sit on the SAME side of the Transversal, but one is inside the parallel lines, and one is outside.
They can be identified by the F shape made by the sides involved with the angles.
They are also equivalent in size.