# Lines, Angles and Quadrilaterals (IMO- Mathematics Olympiad (SOF) Class 9): Questions 51 - 56 of 126

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## Question number: 51

MCQ▾

### Question

In the figure line a|| line b|| line c. their transversal line t1 and line t2, cut them at point X, Y, Z and J, K, L respectively. Point Y is the midpoint of segment XZ. If find and

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 52

MCQ▾

### Question

The supplement of an angle is 50 more than six times its complement. Find the measure of the angle

### Choices

Choice (4) Response

a.

65˚

b.

56˚

c.

82˚

d.

38˚

## Question number: 53

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

Right

b.

Acute

c.

Isosceles

d.

Scalene

## Question number: 54

MCQ▾

### Question

The measure of an angle is three times the measure of its supplementary angle. Then the angles are________

### Choices

Choice (4) Response

a.

28˚, 72˚

b.

26˚, 154˚

c.

50˚, 100˚

d.

45˚, 135˚

## Question number: 55

MCQ▾

### Question

In the given figure . Which of the following must be true?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 56

MCQ▾

### Question

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.

3

b.

4

c.

5

d.

2

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