Question

3 questions? I'll medal and fan!

Answer 1

Do you remember the relationships for the angles formed when a transversal line crosses two parallel lines

Answer 2

opposite interior angles are equal
f = b
a = d

Answer 3

I'm confused completely

Answer 4

Angles opposite to one another in a pair of crossed lines are equal, they are called Vertical angles.
f = h
g = a
d = c
e = b
All vertical angle pairs

Answer 5

Explain?

Answer 6

When two parallel lines are crossed by a 3rd line called a transversal, the angles formed are related to each other.
Opposite interior angles, like angle b and angle f, or angles a and d will be equal.

Answer 7

This is the theorem for the first line in the proof...
http://www.mathsisfun.com/geometry/alternate-interior-angles.html

Answer 8

The arrows means that AD and BC are parallel lines.
Alternate interior angles are equal to one another.
Angle A = Angle C
Angle D = Angle B

Answer 9

So would that mean #1 is given?

Answer 10

That means the reason #1 is true is because alternate interior angles are equal

Answer 11

Here is the statement in the box for #1.. http://www.mathsisfun.com/geometry/alternate-interior-angles.html

Answer 12

For the Second Line Angle AED = Angle CEB

"Vertical angles" - are the angles on opposite sides of 2 crossing lines. They are also equal.
Angle DEA = Angle CEB
Angle AEB = Angle DEC

both are pairs of "vertical angles"

Answer 13

Here is the statement for #2 .. http://www.mathsisfun.com/geometry/vertical-angles.html

Answer 14

im confused D;

Answer 15

@Kamibug , please help!

Answer 16

@kamibug