Angle Angst? No More! A Fun Guide to Linear Pairs and Vertical Angles

In no way should you NOT watch this:

MASTERPIECE.

Angles can seem tricky at first, but once you understand the rules behind them, they’re surprisingly straightforward. Two key angle concepts that pop up on the SAT are linear pairs and vertical angles. Knowing how to solve these problems step by step can help you tackle them with confidence—even if test anxiety or SAT anxiety is lurking in the background.

Let’s dive into the rules and practice solving these problems together.


What Are Linear Pairs?

A linear pair of angles happens when two angles are next to each other, forming a straight line. Together, these two angles always add up to 180°. Think of it like two puzzle pieces fitting together to complete a straight edge.


What Are Vertical Angles?

Vertical angles occur when two lines intersect. The angles opposite each other (across the intersection) are always equal. These angles are like mirror images—whatever one is, the other is the same.


Practice Problems

Let’s work through some example problems together to see these rules in action.


Practice Problem 1: Linear Pairs


Practice Problem 2: Vertical Angles


Practice Problem 3: Mixed Problem


Test Anxiety Tip: Break It Down

If SAT anxiety tries to make these problems feel overwhelming, just remember these steps:

  1. For Linear Pairs: Add the angles and set them equal to 180°.
  2. For Vertical Angles: Set the opposite angles equal to each other.
  3. Keep It Neat: Write out your work step by step to stay organized.

With these simple rules, you’ll feel much more confident solving angle problems.


Final Thoughts

Linear pairs and vertical angles are some of the easiest geometry questions you’ll face on the SAT once you understand the rules. Take your time, practice a few problems, and you’ll be ready to ace these questions on test day.

Keep checking back on this blog for more math tips, tricks, and confidence-boosting strategies to beat SAT anxiety. You’ve got this—good luck!