Tip #5 to Get a Top SAT Math Score
In math class, learning about parallel lines can seem pretty tricky—alternate interior angles, corresponding angles, same-side interior angles. … We don't need all that for the SAT. We just need to know that
- Parallel lines are two lines that never touch.
- If two parallel lines are crossed by another line (called a transversal), then eight angles form.
- These eight angles are of two types, big or little. All bigs are equal, and all littles are equal.
This is enough to answer any parallel-lines SAT question. There's another 10 points!
Let's look at this question:
Solution: First, always mark any info from the question into the diagram, so mark x = 45. Remember SAT Math Mantra #4: when you are given two angles of a triangle, always determine the third: 180° – 108° – 45° = 27°. Next, in the pair of parallel lines, there are only two kinds of angles, big and little. Angle y is big, not little, so it equals 180° – 27° = 153°.
- In the figure below, m || n. If y = 45, what is the value of x ?
- If x = 66 and p || q and m || n in the four lines shown, what is the value of z ?
- In the figure below, m || n. If z = 40 and x = 130, then y =
- If z = 45 and y = 95 in the figure below, then which of the following must be true?
- p || q
- x + y = 180
- z = x
- x + z = 180
- y = 2x
- In the figure below, if a || b and the measure of x = 22, what is the measure of y?
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