All the answers in number 7 look correct. However, there are a couple of answers in number 10 that are a bit off.
The measure of angle 1 is correct. However, the measure of angle 3 should be 38 degrees, since angle 3 is an alternate interior angle of 38 degrees.
Knowing this, we can solve for the measure of angle 2, since we know that the total amount of angles in a triangle is 180.
63+38+? = 180
101 + ? = 180
? = 79
The measure of angle 2 is 79.
On to number 2.
We know that angles 3 and 5 are equal since these two angles are in an isosceles triangle. Since we know that the third angle is 138 degrees, we can form an equation:
2*n + 138 = 180
(In which n represents the unknown angles)
2n = 42
n = 21
Angles 3 and 5 are 21 degrees.
Since triangle WXY is equilateral, we know that all of the angles should be 60 degrees. Knowing this, we know that the measure of angle 1 is 60 degrees.
The other two angles are both also equivalent to 60.
Knowing this, we can form another equation:
? + 21 = 60
? = 39
Angles 2 and 4 are 39 degrees
-T.B.