6

Q1. Given ∠ POR = 3x and ∠ QOR = 2x + 10. If POQ is a straight line, then the value of x is

30˚

34˚

36˚

None of these

Q2. If two parallel lines are intersected by a transversal, then the bisectors of any two corresponding angles are

parallel

perpendicular

Intersect

bisect each other

Q3. Find the measure of the angle which is complement of itself.

30^o

90^O

45^O

180^o

Q4. If the measures of angles of a triangle are in the ratio 3:4:5. What is the measure of the smallest angle of the triangle?

25˚

30˚

45˚

60˚

Q5. If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are

Linear pair

Complementary

Supplementary

Equal

Q6. If one angle of a triangle is equal to the sum of the other two angles, then the triangle is:

An isosceles triangle

An obtuse angled triangle

An equilateral triangle

A right triangle

Q7. Two supplementary angles are in the ratio 4:5. The angles are :

90^o, 90^o

80^o, 100^o

30^o, 150^o

45^o,45^o

Q8. Measure of an angle which is supplement of itself is :

45^o

30^o

90^o

180^o

Q9. An exterior angle of triangle is 80^o and the interior opposite angles are in the ratio 1:3. Measure of each interior opposite angle is:

30^o, 90^o

40^o, 120^o

20^o, 60^o

30^o, 60^o

Q10. Of the three angles of a triangle, one is twice the smallest and another is thrice the smallest. The angles of the triangle will be

40^o, 60^o, 80^o

70^o, 50^o, 60^o

60^o, 90^o, 30^o

80^o, 50^o, 50^o

Q11. Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is

45˚

30˚

36˚

20˚

Q12. If a side of a triangle is produced, the exterior angle so formed is equal to the

Sum of adjacent angles of the triangle

Sum of interior opposite angles of the triangle

Sum of exterior angles

Sum of exterior opposite angles

Q13. If two straight lines are perpendicular to a line l, then they are.

Perpendicular to each other

Parallel to each other

The angle between the two lines is 180^o

The lines intersect each other when extended

Q14. The angles of a triangle are in the ratio 2: 3: 4; the three angles are

40^o, 60^o, 80^o

70^o, 46^o, 64^o

60^o, 90^o, 30^o

80^o, 50^o, 50^o

Q15. An exterior angle of a triangle is 80^o and two interior opposite angles are equal. Measure of each of these angle is:

120^o

40^o

100^o

60^o

Q16. The angle whose complement is one-third of its supplement will be

90^o

135^o

180^o

45^o

Q17. If the bisectors of the acute angles of a right triangle meet at O, then the angle at O between the two bisectors is

45˚

95˚

135˚

90˚

Q18. If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the ____ interior opposite angles.

Two

Three

One

Four

Q19. Two lines are parallel to each other, only when

The lines lie on the same plane

They do not intersect each other when extended on either side

They are parallel to the plane in which they lie

Their point of intersection is at infinity

Q20. Given four points such that no three of them are collinear, then the number of lines that can be drawn through them are:

2 lines

4 lines

6 lines

8 lines

Q21. If the angles of a triangle are 2x, 5x and 3x, then find the accurate value of angles.

45°, 90° and 45°

26°, 90° and 64°

55°, 90° and 35°

36°, 90° and 54°

Q22. If two straight lines are perpendicular to a line l, then they are

Perpendicular to each other

Parallel to each other

The angle between the two lines is 180^o

The lines intersect each other when extended

Q23. Choose the correct statement out of the following.

If two adjacent angles are equal, then each angle measures 90^o

Angles forming a linear pair can both be acute angles

If angles forming a linear pair are equal, then each of these angles measures 90^o

Two angles whose sum is 90^o are called supplementary angles

Q24. Two lines are parallel to each other, only when

The lines lie on the same plane

They do not intersect each other when extended on either side

They are parallel to the plane in which they lie

Their point of intersection is a unique point

Q25. If two parallel lines are intersected by a transversal then, pair of alternate interior angles are:

Equal

Complementary

Supplementary

Sum of the two angles is 360^o

Q26. The angles of a triangle are in the ratio 2 : 3 : 4. The angles, in order, are :

20^o, 60^o, 80^o

80^o, 40^o, 60^o

40^o, 60^o, 80^o

60^o, 40^o, 80^o

Q27. The sum of two angles of a triangle is 116^o and their difference is 24^o. The measure of each angle of the triangle is

40^o, 60^o, 80^o

60^o, 90^o, 30^o

70^o, 50^o, 60^o

70^o, 46^o, 64^o

Q28. One of the angles of a triangle is 75^o. If the difference of the other two angles is 35^o, then the larger angle of the other two angles of the triangle has a measure of:

80^o

70^o

100^o

135^o

Q29. If two lines intersect each other, then the vertically opposite angles are ……….

Equal

Unequal

Complementary

Supplementary

Q30. A pair of angles is called linear pair if sum of two adjacent angles is:

90^o

180^o

270^o

360^o

Q31. Sum of the measure of an angle and its vertically opposite angle is always.

Double the measure of the original angle

Thrice the measure of the original angle

Equal to the measure of the original angle

Zero

Q32. An exterior angle of a triangle is 110^o; and one of the interior opposite angles is 30^o, then the other two angles of the triangle are

60^o, 70^o

120^o, 80^o

70^o,  80^o

50^o,   60^o

Q33. Two parallel lines l and m are such that A, C are the points on l and B, D are the points on m.  AB and CD are perpendicular to both l and m. If AB = 4 cm, then CD =

2 cm

8 cm

4 cm

1 cm

Q34. If the measure of an angle is twice the measure of its supplementary angle then the measure of the angle is:

60°

90°

120°

130°

Q35. If a transversal intersects two parallel lines, then the consecutive interior angles are

complementary

equal

supplementary

congruent

Q36. If in triangle DEF, the greatest angle is twice the smallest and the third angle is 20 degrees more than the smallest, what are the angles?

30^o, 60^o, 80^o

20^o, 40^o, 40^o

40^o, 60^o, 80^o

30^o, 50^o, 100^o

Q37. If two interior angles on the same side of a traversal intersecting two parallel lines are in the ratio 2: 3, then the smaller of the two angles is:

72^o

108^o

54^o

36^o

Q38. If a transversal intersects two parallel lines, then each pair of corresponding angles is ………

Parallel

Perpendicular

Equal

Different

Q39. Choose the correct statement

If two adjacent angles are equal, then each angle measures 90^o.

Angles forming a linear pair can both be acute angles.

If angles forming a linear pair are equal, then each of these angles measures 90^o.

Two angles whose sum is 90^o are called supplementary angles.

Q40. The number of lines that can pass through a given point is:

Two

None

Only one

Infinitely many