**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