1. What is the sum of interior angles of a pentagon?
- A360°
- B450°
- C540°
- D630°
Show answer
Answer: C
Sum of interior angles of an n-sided polygon=(n-2)×180°. For pentagon (n=5): 3×180=540°.
Home › Mathematics › Geometry - Polygons
Geometry - Polygons — Mathematics Questions & Practice
Practise 11 Geometry - Polygons questions from Mathematics for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.
11 questions · 0 quizzes · free to start
Practice questions on Geometry - Polygons — with answers
Try each question first, then open the answer. Explanations are included.
2. What is the sum of interior angles of a hexagon?
- A540°
- B630°
- C720°
- D810°
Show answer
Answer: C
Sum=(n-2)×180°. For hexagon (n=6): 4×180=720°.
3. What is each exterior angle of a regular polygon with 9 sides?
- A30°
- B35°
- C40°
- D45°
Show answer
Answer: C
Exterior angle=360°/n=360/9=40°.
4. How many sides does a regular polygon have if each interior angle is 150°?
- A10
- B12
- C14
- D16
Show answer
Answer: B
Exterior angle=180-150=30°. Number of sides=360/30=12.
5. What is the number of diagonals in a polygon with 8 sides?
- A18
- B20
- C22
- D24
Show answer
Answer: B
Diagonals=n(n-3)/2=8×5/2=20.
Practise more Geometry - Polygons questions
More Mathematics topics
Mensuration (475)Time, Speed and Distance (437)Simplification (416)Time and Work (377)Algebra (369)Percentage (355)Profit and Loss (327)Number System (313)Ratio and Proportion (285)Averages (278)HCF and LCM (275)Simple Interest (232)Compound Interest (214)Boats and Streams (203)Problems on Ages (188)Permutation and Combination (163)Pipes and Cisterns (162)Mixture and Alligation (145)All Mathematics →