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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?

ANSWER: (B) 150°

 

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?

ANSWER: (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?

ANSWER: (C) Angles 5 and 8


 

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

ANSWER: 38