The number of sides of two regular polygons are in the ratio 5 : 4. The difference between their interior angles is 9°. Consider the following statements: 1) One of them is pentagon and the other is a rectangle. 2) One of them is decagon and the other is an octagon. 3) The sum of their exterior angles is 720°. Which of the above statements is/are correct?

Consider the following statements: (1) If n ≥ 3 and m ≥ 3 are distinct positive integers, then the sum of exterior angles of a regular polygon of m sides is different from the sum of exterior angles of regular polygon of n sides (2) Let m, n be integers such that m > n ≥ 3. Then the sum of the interior angles of regular polygon of sides is greater than the sum of interior angles of a regular polygon of n sides, and their sum is (m + n)π/2 Which of the above statements is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Which of the following statement(s) given below is / are TRUE? A: Sum of exterior angle of triangle is less than the sum of exterior angle of a quadrilateral. B: Sum of interior angles of a polygon is (n - 1) × 90° (‘n’ is number of sides.) C: Interior angle of regular polygon is 72°, then measure of its corresponding exterior angle is 108°.

A

B

C

B

D

A and B

Consider the following statements: 1. There exists a regular polygon whose exterior angle is 70°. 2. Let n ≥ 5. Then the exterior angle of any regular polygons of n sides is acute. Which of the above statements is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Then thenumber of sides of each polygon are

A

10, 20

B

4, 8

C

3, 6

D

5, 10

Consider the following statements. A) A regular polygon whose exterior angle between 75° and 85°. B) Ratio of interior angle to exterior angles having 5 sides of a polygon is 3 : 2. C) A polygon whose number of diagonals is 7. Which statement(s) is/are true?

A

Only A

B

Only B

C

Only A and B

D

Only B and C

March List I with List II : List I List II (A) Supplementary angles (I) Angles less than 90° (B) Complementary angles (II) Two angles whose sum is 180° (C) Acute angles (III) Angles greater than 90° but less than 180° (D) Obtuse angles (IV) Two angles whose sum is 90° Choose the correct answer from the options given below :

A

(A) - (III), (B) - (II), (C) - (I), (D) - (IV)

B

(A) - (IV), (B) - (II), (C) - (III), (D) - (I)

C

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

D

(A) - (II), (B) - (IV), (C) - (III), (D) - (I)

Choose the correct statement. a) The sum of the measured interior angles should be equal (2N - 4) right angles. b) If the exterior angles are measured, their sum should be equal to (2N + 4) right angle. Where N is the number of sides of the traverse.

A

Both the statement (a) and (b) are true

B

Statement (a) alone is true

C

Statement (b) alone is true

D

Both the statements (a) and (b) alone is false

E

Information insufficient

Find out the difference between sum of interior angles of regular hexagon and regular decagon.

A

600°

B

640°

C

720°

D

800°

The number of sides of polygon A is 6 more than the number of sides of polygon B. Interior angle of polygon A is 10° more than the interior angle of polygon B. Find the interior angle of polygon whose side is equal to sum of number of sides of polygon A and B.

A

155°

B

150°

C

160°

D

168°

What is the ratio of each interior angle of a regular nonagon to each exterior angle of a regular decagon?

A

31 ∶ 7

B

35 ∶ 9

C

36 ∶ 7

D

33 ∶ 8

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