How to solve Geometry Problems: Lines and Angles

Geometry is an essential part of standardize tests such as GRE, SAT, GMAT and others. The geometry part includes topics like: angles, lines, figures, areas and more. This article will teach you the basic about angles and lines. If you would like to see this article as a video format please visit WWW.I-HATE-MATH.COM

Things You'll Need

• Pen
• Paper
• Ruler

Instructions

1. Let's remember that on a straight line, the sum of the angles equal to 180. Therefore, if we have "X" and "Y", we know that "X + Y= 180"

2. 

   Knowing that "X + Y = 180" then we can substitute Y for 63. We have that "X + 63 = 180"

3. 

   Now we can solve for "X", we get that "X=180- 63"

4. 

   The result is X=117. As you can see 117 + 63= 180

5. 

   Let's practice with this exercise. We are going to follow the same technique to solve for "X"

6. 

   Here we have that "2X + X= 180", we do the same thing as before, we add 2X + X = 3X, so 3X= 180, and then we divide by 3 both sides. The result is "X=60"

7. 

   Substituting for X in our original problem, we have 2(X)=2(60) and X=60.

   Final result!!! :)

Tips & Warnings

• These type of problems are very popular on standardize tests

• Remember that even if your line is vertical, the same theory applies.

• Always check your problem by adding the angles at the end. You will always get 180!!!

• You can watch this problem as a video at www.I-hate-math.com

Resources

• I Hate Math Group