- This is an assessment test.
- These tests focus on geometry and mensuration and are meant to indicate your preparation level for the subject.
- Kindly take the tests in this series with a pre-defined schedule.

## Geometry and Mensuration: Test 16

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Question 1 |

Each interior angle of a regular polygon is 144

^{o}. The number of sides of the polygon is8 | |

9 | |

10 | |

11 |

Question 1 Explanation:

If the number of sides of the polygon be n, then

(n-2)180 = 144n

=> 180n-360 = 144n

=> 36 n = 360

=> n= 10.

Correct option is (c)

(n-2)180 = 144n

=> 180n-360 = 144n

=> 36 n = 360

=> n= 10.

Correct option is (c)

Question 2 |

ABCD is a cyclic parallelogram. The angle ∠B is equal to:

30 ^{o} | |

60 ^{o} | |

45 ^{o} | |

90 ^{o} |

Question 3 |

ABCD is a cyclic trapezium such that AD||BC, If ∠ABC= 70

^{o}, then the value of ∠BCD is:60 ^{o} | |

70 ^{o} | |

40 ^{o} | |

80 ^{o} |

Question 4 |

The ratio of the angles ∠A and ∠B of a rhombus ABCD is 4: 5, then the value of ∠C is:

50 ^{o} | |

45 ^{o} | |

80 ^{o} | |

95 ^{o} |

Question 4 Explanation:

∠ C= ∠A.

∠B+∠A = 180.

Since ∠A: ∠B = 4:5 , we can conclude that

∠B = 100 and ∠A= 80.

Thus ∠C = 80.

∠B+∠A = 180.

Since ∠A: ∠B = 4:5 , we can conclude that

∠B = 100 and ∠A= 80.

Thus ∠C = 80.

Question 5 |

ABCD is a rhombus whose side AB= 4cm and ABC= 120

^{o}, then the length of diagonal BD is equal to:1 cm | |

2 cm | |

3 cm | |

4 cm |

Question 5 Explanation:

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