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9th Grade > Mathematics

LINES AND ANGLES MCQs

Lines And Angles

Total Questions : 74 | Page 3 of 8 pages
Question 21. Can there be a pair of complementary angles such that both of them are equal? If yes, find the values of those angles.
  1.    No, there exists no such pair of angles.
  2.    Yes, 45∘
  3.    Yes, 30∘
  4.    Insufficient data
 Discuss Question
Answer: Option B. -> Yes, 45∘
:
B
Let the measure of each angle be x.
Since the angles are complementary, their sum will be 90°.

x+x=90
2x=90
x=45
It is possible to have a pair of equal angles that are complementary and me
asure of each of them will be 45.
Question 22. Three lines can never intersect at a single point.
  1.    True
  2.    False
  3.    ∠3, ∠2, ∠5, ∠6.
  4.    ∠1, ∠2, ∠3, ∠4.
 Discuss Question
Answer: Option B. -> False
:
B
Three lines can intersect at one point as shown below:
Three Lines Can Never Intersect At A Single Point.​​
Question 23. Two obtuse angles can be supplementary.
  1.    True
  2.    False
  3.    ∠3, ∠2, ∠5, ∠6.
  4.    ∠1, ∠2, ∠3, ∠4.
 Discuss Question
Answer: Option B. -> False
:
B
Obtuse angles are greater than 90 . So, the sum of two such angles will be greater than 180​.
Therefore,two obtuse angles cannotbe supplementary.
Question 24. "Two lines can intersect at more than one point". Say true or false.
  1.    True
  2.    False
  3.    ∠1 + ∠2 + ∠4 = 180∘ 
  4.    ∠3 + ∠5 + ∠6  = 180∘ 
 Discuss Question
Answer: Option B. -> False
:
B
Two lines can intersect at one point only.
If they are coincident, then they will have infinite number of commonpoints
Question 25. Lines, rays and line segment are all one and the same. True or false?
  1.    True
  2.    False
  3.    ∠1 + ∠2 + ∠4 = 180∘ 
  4.    ∠3 + ∠5 + ∠6  = 180∘ 
 Discuss Question
Answer: Option B. -> False
:
B
A line segment is a part of a line that is bounded by two distinct end points.
A ray starts at a point and extends infinitely in one direction.
A line extends in both directions infinitely.
Question 26. Vignesh has two angles, A and B. He arranged these angles on a paper such that they are complementary. Which of the following arrangements did he make?
Vignesh Has Two Angles, ∠A And ∠B. He Arranged These Ang...
  1.    I, II, III
  2.    I, II
  3.    I only
  4.    II only
 Discuss Question
Answer: Option A. -> I, II, III
:
A
If two angles are complementary,then the sum of the angles will be90.
Question 27. Akash draws a straight line on a sheet of paper. Then he draws another line such that the distance between the two is the same throughout. Similarly, he draws one more line in the same manner. He names these line as l, m and n. Which of the following is correct?
  1.      l ⊥ m
  2.     m ⊥ n
  3.     l ∥ m ∥ n
  4.    l ∥ m only and m ⊥ n
 Discuss Question
Answer: Option C. ->  l ∥ m ∥ n
:
C
Distance between a pair of any two parallel lines remains the same throughout.
If l m and m n then l m n.
Question 28. In the figure given below, l and m are two parallel lines. Which of the following statement is true?
In The Figure Given Below, l And m are Two Parallel Lines...
  1.    ∠1 + ∠8 = 180∘ 
  2.    ∠7 + ∠8 + ∠5= 180∘ 
  3.    ∠1 + ∠2 + ∠4 = 180∘ 
  4.    ∠3 + ∠5 + ∠6  = 180∘ 
 Discuss Question
Answer: Option A. -> ∠1 + ∠8 = 180∘ 
:
A
From Euclid's 5th postulate, we know,
"If a straight line falling on two straight lines makes the interior angles on the same side of it taken together is less than two right angles, then the two straight lines, if produced infinitely, meet on that side on which the sum of the angles is less than two right angles."
If the lines are parallel, the sum of those two angles is 180.
1 + 8 = 180and3+ 6= 180
Question 29. Satyam has drawn his house on a paper as shown. Find the number of line segments used to draw the house.
Satyam Has Drawn His House On A Paper As Shown. Find The Num...
  1.    16
  2.    15
  3.    24
  4.    10
 Discuss Question
Answer: Option B. -> 15
:
B
A line segment is a part of a line that is bounded by two distinct end points.
In the given figure, number of line segments used = 15
Question 30. Anmol was cutting a piece of paper with a pair of scissors. He observed that as he increases the angle of the scissors, then the vertically opposite angle ___.
  1.    Increases by same amount
  2.    Decreases by same amount
  3.    Remains constant
  4.    Increases by double
 Discuss Question
Answer: Option A. -> Increases by same amount
:
A
Vertically opposite angles are equal. If one angle increases then vertically opposite angle will increase by same amount.

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