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All questions of Angles for Class 9 Exam
A polygon with n sides has an angle sum of .......- a)180n
- b)180(n + 1)
- c)180(n - 1)
- d)180(n - 2)
Correct answer is option 'D'. Can you explain this answer?
a)
180n
b)
180(n + 1)
c)
180(n - 1)
d)
180(n - 2)
 | C K Academy answered |
3 sides 1 x 180°, 4 sides 2 x 180°, 5 sides 3 x 180°,…. n sides (n - 2) x 180°
If the exterior angle of a polygon is 45° what is the corresponding interior angle?- a)75°
- b)108°
- c)135°
- d)160°
Correct answer is option 'C'. Can you explain this answer?
a)
75°
b)
108°
c)
135°
d)
160°
| | C K Academy answered |
The sum of the exterior and interior angles at any corner is always 180° because they are angles on a straight line
What is the sum of the interior angles of a triangle?- a)90 degrees
- b)180 degrees
- c)270 degrees
- d)360 degrees
Correct answer is option 'B'. Can you explain this answer?
What is the sum of the interior angles of a triangle?
a)
90 degrees
b)
180 degrees
c)
270 degrees
d)
360 degrees
| | C K Academy answered |
The sum of the interior angles of any triangle is always 180 degrees.
In a tile pattern of equilateral triangles, how many tiles will fit around a single point?- a)3
- b)4
- c)5
- d)6
Correct answer is option 'D'. Can you explain this answer?
a)
3
b)
4
c)
5
d)
6
| | C K Academy answered |
All angles are 60° and angles around a point add up to 360°
The sum of the interior angles of a pentagon (5 sides) is .......- a)540°
- b)900°
- c)360°
- d)1,080°
Correct answer is option 'A'. Can you explain this answer?
a)
540°
b)
900°
c)
360°
d)
1,080°
| | C K Academy answered |
Triangle has 180°, quadrilateral has 360°; each extra side adds 180° to total, so pentagon has 360 + 180°
Which type of polygon has all sides and angles equal?- a)Regular polygon
- b)Irregular polygon
- c)Equilateral polygon
- d)Quadrilateral
Correct answer is option 'A'. Can you explain this answer?
Which type of polygon has all sides and angles equal?
a)
Regular polygon
b)
Irregular polygon
c)
Equilateral polygon
d)
Quadrilateral
| | C K Academy answered |
A regular polygon is one where all sides are of equal length and all angles are equal.
If the interior angle of a regular n-sided polygon is 150°, what is n?- a)9
- b)10
- c)11
- d)12
Correct answer is option 'D'. Can you explain this answer?
a)
9
b)
10
c)
11
d)
12
| | C K Academy answered |
Exterior angle is 180 - 150 = 30. 360 ÷ 30 = 12
How many sides does a hexagon have?- a)4
- b)5
- c)6
- d)7
Correct answer is option 'C'. Can you explain this answer?
How many sides does a hexagon have?
a)
4
b)
5
c)
6
d)
7
| | C K Academy answered |
A hexagon is a polygon with 6 sides.
Which of these tile shapes will not tesselate with only others of the same shape and size?- a)Regular hexagon
- b)Isosceles triangle
- c)Regular octagon
- d)Trapezium
Correct answer is option 'C'. Can you explain this answer?
Which of these tile shapes will not tesselate with only others of the same shape and size?
a)
Regular hexagon
b)
Isosceles triangle
c)
Regular octagon
d)
Trapezium
 | Imk Pathshala answered |
A regular octagon has an interior angle of 135° ((n-2) × 180 / n = (8-2) × 180 / 8 = 135°).
For tessellation, the interior angle must divide 360° evenly. Since 360 ÷ 135 ≈ 2.67 (not an integer), regular octagons cannot tessellate alone.
Hexagons (120°, 360 ÷ 120 = 3), isosceles triangles (adjustable angles), and trapeziums (specific configurations) can tessellate.
For tessellation, the interior angle must divide 360° evenly. Since 360 ÷ 135 ≈ 2.67 (not an integer), regular octagons cannot tessellate alone.
Hexagons (120°, 360 ÷ 120 = 3), isosceles triangles (adjustable angles), and trapeziums (specific configurations) can tessellate.
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