arrow_backBack to Study Resources

Quiz Chapter 4: Polygon

10 questions · Form 2 Mathematics Bab 4: Polygon

10 questions · plays in fullscreen

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Four interior angles of a hexagon are each 120°. The remaining two interior angles are equal to x°. Calculate the value of x.

  1. 110°
  2. 120°
  3. 130°
  4. 140°
Show answer

Answer: B

Sum of hexagon interior angles = (6 - 2) × 180° = 720°. 4(120°) + 2x = 720° => 480° + 2x = 720° => 2x = 240° => x = 120°.

2. How many triangles are formed inside an n-sided polygon when line segments are drawn from a single vertex to all other non-adjacent vertices?

  1. n
  2. n - 1
  3. n - 2
  4. n - 3
Show answer

Answer: C

Connecting one vertex to all non-adjacent vertices divides an n-sided polygon into (n - 2) triangles.

3. Each interior angle of a regular polygon is 140°. Find the number of sides of this polygon.

  1. 9
  2. 8
  3. 10
  4. 12
Show answer

Answer: A

Exterior angle = 180° - 140° = 40°. Number of sides n = 360° / 40° = 9.

4. Which statement is FALSE regarding regular polygons?

  1. All interior angles are congruent
  2. All sides have equal length
  3. The number of symmetry lines equals the number of vertices
  4. The sum of interior angles is always 360°
Show answer

Answer: D

The sum of interior angles depends on the number of sides (n - 2) × 180°. It is only 360° for a 4-sided polygon (quadrilateral).

5. If each exterior angle of a regular polygon is 30°, how many sides does the polygon have?

  1. 10
  2. 12
  3. 15
  4. 8
Show answer

Answer: B

Number of sides n = 360° / Exterior angle = 360° / 30° = 12 sides.

6. Calculate the measure of each interior angle of a regular pentagon.

  1. 120°
  2. 108°
  3. 135°
  4. 90°
Show answer

Answer: B

Sum = (5 - 2) × 180° = 540°. Each interior angle = 540° / 5 = 108°.

7. An interior angle of a regular polygon is 5 times its exterior angle. How many sides does this polygon have?

  1. 10
  2. 12
  3. 14
  4. 16
Show answer

Answer: B

Let exterior angle = e. Interior angle = 5e. 5e + e = 180° => 6e = 180° => e = 30°. Number of sides n = 360° / 30° = 12.

8. Find the value of an exterior angle of a regular 15-sided polygon.

  1. 24°
  2. 20°
  3. 30°
  4. 15°
Show answer

Answer: A

Exterior angle = 360° / 15 = 24°.

9. In a quadrilateral, three exterior angles measure 80°, 100°, and 110°. Find the fourth exterior angle.

  1. 70°
  2. 90°
  3. 80°
  4. 60°
Show answer

Answer: A

Sum of exterior angles = 360°. Fourth exterior angle = 360° - (80° + 100° + 110°) = 360° - 290° = 70°.

10. How many axes of symmetry does a regular decagon have?

  1. 5
  2. 10
  3. 20
  4. 8
Show answer

Answer: B

For any regular polygon with n sides, the number of axes of symmetry is equal to n. So a decagon has 10 axes of symmetry.

Sponsored