# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 161 - 165 of 931

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## Question 161

### Question

MCQ▾If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersects at a point O such that , then value of k is ________

### Choices

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

a. | 5 | |

b. | 4 | |

c. | 3 | |

d. | 2 |

## Question 162

### Question

MCQ▾XYZ is an equilateral triangle for side . J, K and L are midpoints of XY, YZ and XZ respectively. The area of triangle JKL is (in ) ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 163

### Question

MCQ▾The supplementary angle of an angle is one fifth of itself. Then the angle of its supplement are________

### Choices

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

a. | 160˚, 130˚ | |

b. | 150˚, 30˚ | |

c. | 160˚, 20˚ | |

d. | 150˚, 45˚ |

## Question 164

### Question

MCQ▾In the adjoining figure, point P the intersection of lines l1 and l2 has coordinates (a, b) as shown here. Which of the following could be the ordered pair (a, b) ?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 165

### Question

MCQ▾The supplementary angle of an angle is one third of itself. Then the angle of its supplement are________

### Choices

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

a. | 135˚, 45˚ | |

b. | 120˚, 360˚ | |

c. | 60˚, 120˚ | |

d. | 60˚, 180˚ |