If each angle of a polygon is \( \Large 165 ^{\circ} \), then number sides of the polygon is


A) 24

B) 30

C) 35

D) 40

Correct Answer:
A) 24

Description for Correct answer:
Exterior angle = \( \Large 180 ^{\circ} - 165 ^{\circ} = 15 ^{\circ} \)

Therefore, Number of sides = \( \Large \frac{360 ^{\circ} }{Exterior\ angle} \)

= \( \Large \frac{360}{15} = 24 \)

Part of solved Quadrilateral and parallelogram questions and answers : >> Elementary Mathematics >> Quadrilateral and parallelogram








Comments

No comments available




Similar Questions
1). ABCD is trapezium with AB parallel to DC. If AB=10 cm, AD = BC = 4 cm and \( \Large \angle DAB = \angle CBA = 60 ^{\circ} \), then length of CD is equal to
A). 3 cm
B). 6 cm
C). 7 cm
D). 7.5 cm
-- View Answer
2). If sum of diagonals of a rhombus is 10 cm and its area is \( \Large 12 cm^{2} \), then lengths of its diagonals are
A). 5, 5
B). 9, 1
C). 8, 2
D). 6, 4
-- View Answer
3). The points A (-2, -1), B (1, 0), C (4, 3) and D (1, 2) are corners of a
A). Square
B). Trapezium
C). Parallelogram
D). Rectangle
-- View Answer
4). If two adjacent sides of a rectangle are 2 cm and 4 cm, then its perimeter is
A). 6 cm
B). 8 cm
C). 12 cm
D). 24 cm
-- View Answer
5). The area of a square drawn on a diagonal of a square whose area is twice that of a square of side x is
A). \( \Large 2x^{2} \)
B). \( \Large 4x^{2} \)
C). \( \Large 8x^{2} \)
D). \( \Large 16x^{2} \)
-- View Answer


6). The area of the shaded portion is
A). 16 sq. cm
B). 12 sq. cm
C). 8 sq. cm
D). 4 sq. cm
-- View Answer
7). Sum of the interior angles of a regular polygon having 'n' sides is equal to
A). \( \Large \left(n + 2\right) \pi \)
B). \( \Large \left(n + 1\right) \pi \)
C). \( \Large \left(n - 1\right) \pi \)
D). \( \Large \left(n - 2\right) \pi \)
-- View Answer
8). In a regular polygon, if an interior angle is equal to four times the exterior angle, then number of sides in the polygon is
A). 7
B). 8
C). 10
D). 11
-- View Answer
9). If one side of a regular polygon with seven sides is produced, then exterior angle (in degrees) has the magnitude
A). 60
B). \( \Large 51\frac{3}{7} \)
C). 45
D). 40
-- View Answer
10). The angle BDE in a regular hexagon ABCDEFFA is equal to
A). \( \Large 120 ^{\circ} \)
B). \( \Large 105 ^{\circ} \)
C). \( \Large 90 ^{\circ} \)
D). \( \Large 60 ^{\circ} \)
-- View Answer