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

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Question number: 51

» Lines, Angles and Quadrilaterals

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

 Image defines the lines

Image Defines the Lines

Image 3 parallel line and 2 transversal lines and find the line value

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 52

» Lines, Angles and Quadrilaterals

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

» Lines, Angles and Quadrilaterals

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

» Lines, Angles and Quadrilaterals

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

» Lines, Angles and Quadrilaterals

MCQ▾

Question

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

 Here in image define the l1 and l2 are parallel lines

Here in Image Define the l1 and l2 Are Parallel Lines

Here in image define the l1 and l2 are parallel lines finding the choice is true

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 56

» Lines, Angles and Quadrilaterals

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 ________

Image defines the bisectors of two adjacent angles A and B

Image Defines the Bisectors of Two Adjacent Angles a and B

Image defines the ABCD is quadrilateral and define two adjacent angles A and B intersect point O, find the value of k

Choices

Choice (4) Response

a.

3

b.

4

c.

5

d.

2

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