Question 1Easier
Each exterior angle of a regular polygon measures . How many sides does the polygon have?
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Answer: B — 15
The number of sides is .
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Mathematics
Angles and lines — SHSAT practice questions
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What this topic is
Angles and lines questions rest on a handful of facts that combine in many ways.
Supplementary angles together form a straight line, while complementary angles together form a right angle. When parallel lines are cut by a transversal, alternate interior angles are equal and same-side interior angles are supplementary, so one known angle often unlocks every other angle in the figure.
Polygons add another layer: the exterior angles of any polygon add up to one full turn, three hundred sixty degrees, so for a regular polygon, dividing that total by one exterior angle gives the number of sides. Labeling every angle found along the way prevents mix-ups.
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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?
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Answer: C —
Subtract 73 from the 180-degree total to get 107 degrees.
Every question is picked for where you are right now, wrong answers come back until they stick, and it all works offline.
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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