Question 1Easier
Each exterior angle of a regular polygon measures . How many sides does the polygon have?
Show answer
Answer: B — 15
The number of sides is .
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Angles and lines — SHSAT practice questions
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Practice 76 Angles and lines questions in the app
What this topic is
Angles and lines on the SHSAT Mathematics test covers parallel lines cut by a transversal, supplementary pairs, and exterior angles of a regular polygon.
A student has to name the relationship, find a missing degree measure, or recover how many sides the polygon has from one exterior angle. Questions are multiple choice and usually ask for a single number: the measure of angle x or the side count. Answer choices often look like nearby degree measures or nearby side counts.
Common traps are confusing alternate interior angles with corresponding or consecutive interior angles, treating supplementary as complementary, and using an interior-angle formula when the stem gives an exterior angle.
Sample questions
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Question 2Easier
Parallel lines and are cut by a transversal. A angle and angle are alternate interior angles. What is the measure, in degrees, of angle ?
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Answer: B — 62
Alternate interior angles formed by a transversal of parallel lines are equal, so .
Question 3Easier
Two angles are supplementary. One angle measures . What is the measure of the other angle?
Show answer
Answer: C —
Subtract 73 from the 180-degree total to get 107 degrees.
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More SHSAT topics
Mathematics
- Number system and operations
- Ratios, unit rates, and proportional relationships
- Percentages (incl. percent change)
- Exponents and scientific notation
- Algebraic expressions
- Linear equations and slope
- Inequalities
- Systems of equations
- Functions
- Triangles and the Pythagorean theorem
- Area, perimeter, volume, and surface area
- Coordinate plane and distance
- Scale drawings and transformations
- Statistics (center, spread, plots)
- Probability and counting
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