I did two of these then lost my tab. That's annoying.
Why'd you post 6 on its own page if you don't need it done?
Anyway,
2. Alternate angles from parallel lines are congruent so
62 = 4x + 2
60 = 4x
x = 60/4 = 15
and
12y = 144
y = 144/12 = 12
Answer: x=15, y=12, first one
3. Alternate angles are congruent; these are interior which I think means between the lines.
Answer: alternate interior, last choice
5.
They should have included the units of degrees on the 36.
Those are supplementary angles (add to 180 degrees) when f and g are parallel so
3x + 5x+ 36 = 180
8x = 180 - 36 = 144
x = 144/8 = 18
Answer: 18 second choice
7.
Let's call them A, B=31, C=72 instead of 1 2 3.
The third angle of the triangle is supplementary to angle A, because they're formed by the intersection of two lines.
The triangle angles add to 180, so we get
(180 - A) + B + C = 180
or
A = B + C
So A = 31 + 72 = 103
Answer: 103, last choice
8.
1 and 8 are both exterior to the two apparent parallel lines, which means they're not angles in between the lines (I think). nope
1 and 7 also both exterior, nope
2 and 7, both exterior, nope
3 and 6, yes, those are alternate interior angles to parallel lines, so are congruent. The interior doesn't matter so much; alternate angles to parallel lines are congruent.
Answer: 3 & 6, last choice