All questions of Lines & Angles for Class 9 Exam

• a)
  120°
• b)
  300°
• c)
  60°
• d)
  None of these

In the adjoining figure, AB ║ CD and AB ║ EF. The value of x is :-

• a)
  40⁰
• b)
  60⁰
• c)
  70⁰
• d)
  50⁰

In the figure, PQ || MN, the value of x will be

• a)
  85°
• b)
  93°
• c)
  90°
• d)
  100°

In the figure below, the angle a = 150°. The other angle in the figure which is also 150° is:

• a)
  e
• b)
  b
• c)
  d
• d)
  c

In the given figure, the value of y is

• a)
  35
• b)
  37
• c)
  10
• d)
  39

X lies in the interior of ∠BAC. If ∠BAC = 70° and ∠BAX = 42° then ∠XAC =?

• a)
  28°
• b)
  29°
• c)
  27°
• d)
  30°

Given that AB || CD, intersected by a transversal, if the complement of ∠5 equals the supplement of ∠4, then the measures of ∠4 and ∠5 are

• a)
  ∠4 = 105°, ∠5 = 60°
• b)
  ∠4 = 120°, ∠5 = 80°
• c)
  ∠4 = 45°, ∠5 = 145°
• d)
  ∠4 = 135°, ∠5 = 45°

• a)
  4
• b)
  5
• c)
  6
• d)
  7

• a)
  rhombus
• b)
  parallogram
• c)
  Square
• d)
  Rectangle

• a)
  15°
• b)
  30°
• c)
  75°
• d)
  150°

In the adjoining figure, if m ║ n, then ∠4 + ∠7 is equal to –

 

 

• a)
  180⁰
• b)
  120⁰
• c)
  150⁰
• d)
  90⁰

In ΔABC fig., ∠x + ∠y + ∠z is equal to:

• a)
  360°
• b)
  120°
• c)
  240°
• d)
  180°

In the above figure AB || CD. Also, ∠EAB = 84° and ∠ECD = 126°. Then, the value of “x” is

• a)
  80°
• b)
  150°
• c)
  120°
• d)
  160°

l, m and n are parallel lines intersected by a transversal p at X, Y and Z respectively. The value of ∠2 will be

• a)
  130°
• b)
  90°
• c)
  105°
• d)
  120°

• a)
  An Obtuse angle
• b)
  A Right angle
• c)
  An Acute angle
• d)
  A supplementary angle

• a)
  360°
• b)
  180°
• c)
  270°
• d)
  90°

In the given figure, straight lines PQ and RS intersect at O. If the magnitude of θ is 3 times that of ϕ, then (∠ϕ) is equal to :

• a)
  30°
• b)
  40°
• c)
  45°
• d)
  60°

• a)
  Neither equal nor supplementary
• b)
  Not equal but supplementary
• c)
  Equal but not supplementary
• d)
  Either equal or supplementary

The measure of angle a in the figure below is :

• a)
  98°
• b)
  78°
• c)
  62°
• d)
  80°

• a)
  30°, 60°
• b)
  30°, 90°
• c)
  40°, 120°
• d)
  20°, 60°

In the adjoining figure, if PQ || RS, ∠PAB = 45° and ∠ACS = 135°, the value of p and q

• a)
  35°, 100°
• b)
  30°, 60°
• c)
  75°, 120v
• d)
  45°, 90°

• a)
  Equal
• b)
  Complementary
• c)
  Supplementary
• d)
  corresponding

In the figure if AB ||CD, ∠APQ = 50° and ∠PRD = 127° then y is equal to

• a)
  40°
• b)
  45°
• c)
  90°
• d)
  77°

• a)
  15°      
• b)
  10°      
• c)
  25°      
• d)
  5°

In the figure, AB║CD. If ∠2 = (2x + 30)°, ∠4 = (x + 2y)° and ∠6 = (3y+10)° the measure of ∠5 is

• a)
  90°
• b)
  50°
• c)
  60°
• d)
  40°

In the given figure, the value of x which makes POQ a straight line is :

• a)
  40
• b)
  30
• c)
  35
• d)
  25

In fig., if m||n and ∠a : ∠b = 2 : 3, the measure of ∠h is

• a)
  72°
• b)
  120°
• c)
  108°
• d)
  150°

• a)
  46°
• b)
  83°
• c)
  93°
• d)
  73°

• a)
  Acute angle
• b)
  Right angle
• c)
  Obtuse angle
• d)
  None of these

• a)
  A common point
• b)
  Two common points
• c)
  No common point
• d)
  Infinite common points

• a)
  If two lines are intersected by a transversal, then alternate angles are equal.
• b)
  If two lines are intersected by a transversal then sum of the interior angles on the same side of transversal is 180°.
• c)
  If two lines are intersected by a transversal then corresponding angles are equal.
• d)
  none of these.

• a)
  38°
• b)
  52°
• c)
  50°
• d)
  None of these

In the adjoining figure, ABCD is a parallelogram in which ∠A = 72°. Calculate ∠B, ∠C and ∠D.

• a)
  108° , 72°
• b)
  125°, 55°
• c)
  100° ,100°
• d)
  52°, 65°

In fig., in ΔABC, AB = AC. The value of x is:

• a)
  80°
• b)
  100°
• c)
  130°
• d)
  120°

• a)
  The lines intersect each other when extended
• b)
  Parallel to each other
• c)
  The angle between the two lines is 180°
• d)
  Perpendicular to each other

• a)
  72°
• b)
  36°
• c)
  108°
• d)
  32°

• a)
  70°, 110°
• b)
  50°, 130°
• c)
  35°, 145°
• d)
  40°, 140°

• a)
  40⁰
• b)
  35⁰
• c)
  50⁰
• d)
  45⁰

In the figure, AB || CD and ∠F = 30° the value of ∠ECD is

• a)
  110°
• b)
  109°
• c)
  120°
• d)
  105°

• A:

  straight line

• B:

  angle

• C:

  point

• D:

  plane

The answer is a.

• a)
  A line can be produced to any desired length.
• b)
  Through a given point, only one straight line can be drawn.
• c)
  Through two given points, it is possible to draw one and only one straight line
• d)
  Two straight lines can intersect in only one point

The figure below shows a parallelogram. What is the measure of ∠b?

• a)
  90°
• b)
  70°
• c)
  110°
• d)
  100°

In figure, PQ||RS QPO = 70^o ROT = 20^o. Find the value of x.

• a)
  50°
• b)
  70°
• c)
  110°
• d)
  20°

• a)
  45°      
• b)
  35°      
• c)
  75°      
• d)
  65°

• a)
  Zero
• b)
  Thrice the measure of the original angle
• c)
  Double the measure of the original angle
• d)
  Equal to the measure of the original angle

In the adjoining figure, AB || CD || EF, the value of x is:

• a)
  215°
• b)
  119°
• c)
  128°
• d)
  135°

• a)
  20°, 40°, 40°
• b)
  40°, 60°, 80°
• c)
  30°, 50°, 100°
• d)
  30°, 60°, 80°

• a)
   80°
• b)
  72°
• c)
  90°
• d)
  88°

• a)
  Only (ii)
• b)
  Only (i)
• c)
  Only (iii)
• d)
  All are true

• a)
  72°
• b)
  108°
• c)
  54°
• d)
  36°