# Lines, Angles and Quadrilaterals (IMO- Mathematics Olympiad Class 9): Questions 21 - 25 of 126

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## Question number: 21

» Lines, Angles and Quadrilaterals

### Question

In figure PQ, RS and TU are three lines concurrent at A. If ∠PAU = 6y˚, ∠QAS = 4y˚ and ∠RAT = 2y˚, the value of y is________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 15 | |

b. | 25 | |

c. | 30 | |

d. | 20 |

## Question number: 22

» Lines, Angles and Quadrilaterals

### Question

The complementary angle of an angle is one fourth of itself. Then the angle of its complement are________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 45˚, 45˚ | |

b. | 72˚, 18˚ | |

c. | 60˚, 30˚ | |

d. | 55˚, 35˚ |

## Question number: 23

» Lines, Angles and Quadrilaterals

### Question

The angles of a triangle are in the ratio . The triangle is ________

### Choices

Choice (4) | Response | |
---|---|---|

a. | Isosceles | |

b. | Acute | |

c. | Obtuse | |

d. | Question does not provide sufficient data or is vague |

## Question number: 24

» Lines, Angles and Quadrilaterals

### Question

The given figure PQRS is a parallelogram then the values of and are________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 45˚, 60˚ | |

b. | 70˚, 35˚ | |

c. | 35˚, 70˚ | |

d. | 60˚, 45˚ |

## Question number: 25

» Lines, Angles and Quadrilaterals

### Question

In the figure, a is greater than b by one fifth of a right angle. Then a, b respectively are________

### Choices

Choice (4) | Response | |
---|---|---|

a. | 120˚, 110˚ | |

b. | 50˚, 120˚ | |

c. | 130˚, 60˚ | |

d. | 99˚, 81˚ |