Geometry: Using Parallel Lines to Find Angle Measures

1. In the figure, lines $n$ and $m$ are parallel and angle 3 is equal to 30°. Find the angle measure of angle 8?

(A)90°

(B)150°

(C)60°

(D)140°

(E)30°

2. In the figure above, lines $n$ and $m$ are parallel. What angles are not equal to the sum of angles 1, 5, and 3?

(A)Angles 1, 2, and 3

(B)Angles 2, 4, and 6

(C)Angles 7 and 9

(D)Angles 11 and 13

(E)Angles 1, 3, and 6

3. If lines $n$ and $m$ are parallel to each other, what two angles equal the sum of angles 1 and 4?

(A) Angles 1 and 2

(B) Angles 1 and 3

(C) Angles 5 and 8

(D) Angles 5 and 6

(E) Angles 6 and 7

4. In the figure above, lines $n$ and $m$ are parallel. If $x = 72°$ and $z = 110°$, then what is the value of $y$?