_\_________
.a\b
_c\d________
.....\
When a line crosses 2 lines, 8 angles are formed.
Four are exterior angles - outside the 2 lines, and four are interior angles.
These are labelled a, b, c, d in the diagram.
a & d are alternate interior angles because they alternate from one side
of the intersecting line to the other; b & c are also alternate interior angles.
They are also known as "Z-angles" because the top parallel line, the transversal and the bottom parallel line which define the two angles for the letter Z (or a distorted version of it).
If angle a = angle d (in which case angle b = angle c as well), the 2 lines drawn horizontally are parallel.
If alternate interior angles are equal, the 2 lines are parallel.
OR If you know the lines are parallel, then alternate interior angles must be equal.
Not the greatest diagram; please ignore the ... but even a lousy diagram helps.
And no, you don't use lower case letters for angles but there shouldn't be any confusion.
Theorem 9.1:[Alternate Interior Angle Theorem] If two lines cut by a transversal have a pair of congruent alternate interior angles, then the two lines are non-intersecting.
Adjacent Angles
They equal the supplement of the interior angle it is adjacent to. (180-int. angle) E.g: the exterior angles of an equilateral triangle are each equal to 120 degrees.
107.5 approximately, as the molecule is based on a tetrahedral shape, which should have 109.5 degree bonds, but the lone pair on the N causes the bond angles to be slightly decreased, by about 2 degrees
alternate
Yes. "Alternate interior" angles are always interior. Angles that are not interior as well as alternate are never accurately described as "alternate interior" angles.
They are 4 alternate interior angles.
Theorem 9.1:[Alternate Interior Angle Theorem] If two lines cut by a transversal have a pair of congruent alternate interior angles, then the two lines are non-intersecting.
Yes. Alternate interior and alternate exterior angles are congruent.
alternate interior and alternate exterior angles
Those are "alternate interior" angles. They're always equal.
Alternate interior angles are equal on a transversal that passes through parallel lines.
Both alternate interior and alternate exterior angle pairs lie on opposite sides of the transversal.
Alternate interior angles.
They are equal.
Alternate Interior Angles
Parallel lines cut by a transversal form congruent alternate interior angles.