SAT Practice Math Questions: Angle Problems
Angles are a big part of the SAT geometry problems. Finding an angle is usually a matter of simple addition or subtraction, provided you remember these key facts.
- There are no negative angles.
- There are no zero angles.
- Fractional angles rarely appear on the test. For example, an angle is unlikely to measure
Here are some angle questions to get you started.
- In the following drawing,
Find the measure, in degrees, of the angle marked x.
- What is the sum of the angles marked a, b, c, and d in the following diagram?
A. 180 degrees
B. 360 degrees
C. 540 degrees
D. 720 degrees
Answers and explanations
- 40 degrees. Because this drawing contains parallel lines cut by transversals (the two lines meeting at point A), you can fill in a whole lot of angles right off the bat. Each transversal creates eight angles, and these angles come in two groups of four pairs of vertical and supplementary angles. (Remember, a pair of vertical angles is two angles opposite each other and equal to each other. Supplementary angles total 180 degrees.) Here they are, filled in:
After you determine the angles, the problem becomes simpler. Because ACD is a triangle, its angles must add up to 180 degrees. With a 60-degree and an 80-degree angle already accounted for, the missing angle must be 40 degrees — your correct answer.
Don’t grid-in the degree symbol, just the number.
- B. This one you just have to memorize. The sum of the exterior angles of any shape is always 360 degrees. Remember that fact.