# 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

Edit

### Statement

True-False▾

The bisectors of the angles of a linear pair are at right angles.

## 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.