Class 8 Maths MCQs on Properties of Polygons and Exterior Angle Theorem
Class 8 Maths MCQs on Properties of Polygons and Exterior Angle Theorem
Class: 8 | Subject: Mathematics | Chapter 11: Exploring Some Geometric Themes
✔ Based on NCERT Textbook
✔ Strictly as per CBSE Board Examination Pattern
✔ Properties of Polygons & Exterior Angle Theorem
✔ Ideal for Class 8 Mathematics Exam Preparation
1. Sum of interior angles of a triangle is:
Correct Answer: A
Triangle interior angle sum = 180°.
Triangle interior angle sum = 180°.
2. Sum of interior angles of a quadrilateral is:
Correct Answer: A
Formula: (n−2)×180. For n=4 → 2×180=360°.
Formula: (n−2)×180. For n=4 → 2×180=360°.
3. Sum of interior angles of a pentagon:
Correct Answer: A
(5−2)×180 = 3×180 = 540°.
(5−2)×180 = 3×180 = 540°.
4. Exterior angle sum of any polygon is:
Correct Answer: A
Sum of one exterior angle at each vertex = 360°.
Sum of one exterior angle at each vertex = 360°.
5. Number of sides of polygon with interior angle sum 900°:
Correct Answer: A
(n−2)×180=900 → n−2=5 → n=7.
(n−2)×180=900 → n−2=5 → n=7.
6. Each exterior angle of regular hexagon:
Correct Answer: A
360÷6 = 60°.
360÷6 = 60°.
7. Interior angle of regular pentagon:
Correct Answer: A
(5−2)×180/5 = 108°.
(5−2)×180/5 = 108°.
8. Sum of interior angles of octagon:
Correct Answer: A
(8−2)×180 = 6×180 = 1080°.
(8−2)×180 = 6×180 = 1080°.
9. If one exterior angle of regular polygon is 45°, number of sides:
Correct Answer: A
360÷45 = 8 sides.
360÷45 = 8 sides.
10. Interior + exterior angle at vertex equals:
Correct Answer: A
Interior and its exterior form linear pair → 180°.
Interior and its exterior form linear pair → 180°.
11. Number of sides of polygon with each exterior angle 30°:
Correct Answer: A
360÷30 = 12 sides.
360÷30 = 12 sides.
12. Sum of interior angles of decagon:
Correct Answer: A
(10−2)×180=8×180=1440°.
(10−2)×180=8×180=1440°.
13. If interior angle of regular polygon is 120°, number of sides:
Correct Answer: A
Exterior=60°. 360÷60=6.
Exterior=60°. 360÷60=6.
14. Sum of interior angles of hexagon:
Correct Answer: A
(6−2)×180=4×180=720°.
(6−2)×180=4×180=720°.
15. A polygon with 9 sides is called:
Correct Answer: A
9-sided polygon is nonagon.
9-sided polygon is nonagon.
16. Each interior angle of square:
Correct Answer: A
Square has four right angles.
Square has four right angles.
17. Each exterior angle of regular octagon:
Correct Answer: A
360÷8=45°.
360÷8=45°.
18. Number of sides of polygon with sum interior 1260°:
Correct Answer: A
(n−2)×180=1260 → n−2=7 → n=9.
(n−2)×180=1260 → n−2=7 → n=9.
19. Exterior angle of equilateral triangle:
Correct Answer: A
Interior=60°, exterior=180−60=120°.
Interior=60°, exterior=180−60=120°.
20. Interior angle of regular decagon:
Correct Answer: A
(10−2)×180÷10=144°.
(10−2)×180÷10=144°.
Note: These MCQs are strictly prepared as per CBSE Class 8 Mathematics syllabus based on NCERT books. They strengthen understanding of polygon properties and exterior angle theorem.
