# IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 286 - 293 of 1022

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## Question 286

### Question

MCQ▾In the figure, MNOP is a trapezium with MN parallel to PQ, and is a straight line. Find X.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 287

### Question

MCQ▾Two supplementary angles are in the ratio , than the angles are

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 288

## Question 289

### Question

MCQ▾A point P is taken within a rhombus ABCD such that PA = PC. Show that B, P, D are collinear.

### Choices

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

a. | B, A, D are collinear | |

b. | B, C, D are collinear | |

c. | A, P, D are collinear | |

d. | B, P, D are collinear |

## Question 290

### Question

MCQ▾If an angle is its own supplementary angle, then its measure is ________.

### Choices

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

a. | ||

b. | 45° | |

c. | ||

d. |

## Question 291

### Question

MCQ▾AB is parallel MN and MW is parallel to UB and , Find

### Choices

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

a. | ||

b. | ||

c. | 69° | |

d. |

## Question 292

### Question

MCQ▾The sum of the three interior angles of triangle is ________.

### Choices

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

a. | 180° | |

b. | 90° | |

c. | 190° | |

d. | All of the above |

## Question 293

### Question

MCQ▾In the figure, TUSO is a trapezium with TO parallel to US. MON, PQSR, WTUV are straight and parallel lines. Find

### Choices

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

a. | 49° | |

b. | ||

c. | ||

d. |