# Lines, Angles and Quadrilaterals (IMO- Mathematics Olympiad Class 9): Questions 54 - 57 of 126

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## 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

## Question number: 57

MCQ▾

### Question

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.

f Page