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Angle Property Oddity

Angle Property Oddity problems present five polygons where four contain only acute angles (less than 90°) and/or right angles (exactly 90°), and one contains at least one obtuse angle (greater than 90°). You must identify which figure has an obtuse angle. These problems test understanding of angle classification and geometric properties.

10Worksheets
200+Practice Questions
HardDifficulty
2-3 hoursHours to Master

What You'll Learn

Introduction & Overview Why This Matters How to Solve Pro Tips & Tricks
Shortcut Methods Common Mistakes Practice Worksheets Exam Importance

Introduction to Angle Property Oddity

Angle Property Oddity problems present five polygons where four contain only acute angles (less than 90°) and/or right angles (exactly 90°), and one contains at least one obtuse angle (greater than 90°). You must identify which figure has an obtuse angle. These problems test understanding of angle classification and geometric properties.

Prerequisites

Understanding of acute (<90°), right (=90°), and obtuse (>90°) angles Triangle classification (acute, right, obtuse) Visual angle estimation Polygon angle properties
Why This Matters: Angle Property Oddity appears in 1-2 questions in SSC CGL and Banking PO exams. It tests geometric angle knowledge and visual estimation.

How to Solve Angle Property Oddity Problems

1

Step 1: Examine each interior angle of every polygon

2

Step 2: Classify each angle as acute, right, or obtuse

3

Step 3: Determine which angle types are present in each figure

4

Step 4: Figures with only acute/right angles form the common group

5

Step 5: The figure with an obtuse angle is the odd one out

Pro Strategy: Compare each angle to 90° (right angle). Use a mental or visual reference. If any angle appears wider than a right angle (L-shape), it's obtuse. If all angles are narrower than a right angle, it's acute.

Example Problem

Example: Four triangles with only acute angles, one triangle with an obtuse angle. Which is odd? Solution: Step 1: Acute triangles: all angles < 90° Step 2: Obtuse triangle: one angle > 90° Step 3: Most common = acute triangles Step 4: Obtuse triangle is different Answer: The obtuse triangle is the odd one out

Pro Tips & Tricks

  • Right angle = 90° (corner of a square)
  • Acute angle < 90° (sharper than a square corner)
  • Obtuse angle > 90° (wider than a square corner)
  • Equilateral triangles have all 60° angles (acute)
  • Squares have all 90° angles (right)
  • A triangle with one angle > 90° is obtuse

Shortcut Methods to Solve Faster

If a triangle has one angle that looks wider than a square corner, it's obtuse
If all angles look narrower than a square corner, it's acute
Squares and rectangles have only right angles

Common Mistakes to Avoid

Not carefully examining all angles in each figure
Confusing angle size with side length
Missing subtle obtuse angles in triangles
Not knowing angle classifications (acute, right, obtuse)

Exam Importance

Angle Property Oddity is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
CAT
1-2 questions
GMAT
1-2 questions
INSURANCE
1-2 questions

Ready to Master Angle Property Oddity?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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