9th Grade > Mathematics
LINES AND ANGLES MCQs
Lines And Angles
Total Questions : 74
| Page 1 of 8 pages
Answer: Option A. -> ∠3, ∠4, ∠5, ∠6.
:
A
Interior angle can be defined as:
When two parallel lines are crossed by another line (which is called the transversal), the pairs of angleson opposite sides of the transversalbut inside the two linesare calledinterior angles.
So in the given question, the interior angles are ∠3, ∠4, ∠5, ∠6.
:
A
Interior angle can be defined as:
When two parallel lines are crossed by another line (which is called the transversal), the pairs of angleson opposite sides of the transversalbut inside the two linesare calledinterior angles.
So in the given question, the interior angles are ∠3, ∠4, ∠5, ∠6.
Answer: Option B. -> 25∘
:
B
Since, the sum of co-interior angles (interior angles on the same side) = 180∘
⇒x + 15∘ + 6x - 10∘ =180∘
⇒7x + 5∘ = 180∘
⇒ 7x = 175∘
⇒x = 25∘
:
B
Since, the sum of co-interior angles (interior angles on the same side) = 180∘
⇒x + 15∘ + 6x - 10∘ =180∘
⇒7x + 5∘ = 180∘
⇒ 7x = 175∘
⇒x = 25∘
Answer: Option B. -> 52∘
:
B
The sum of two complementary angles is 90∘.
If one angle is x, then another angle will be 90∘−x.
⇒x−(90∘−x)=14∘
⇒2x=104∘
⇒x=52∘
:
B
The sum of two complementary angles is 90∘.
If one angle is x, then another angle will be 90∘−x.
⇒x−(90∘−x)=14∘
⇒2x=104∘
⇒x=52∘
Answer: Option B. -> 52.5∘
:
B
From the properties of triangles:
Exterior angle = Sum of interior opposite angles
Now let us take each interior opposite angle asx ( as both interior opposite angles are equal)
⇒ x + x = 105∘
⇒ 2x = 105∘
⇒ x = 52.5∘
So the value of each of the opposite interior angle= 52.5∘
:
B
From the properties of triangles:
Exterior angle = Sum of interior opposite angles
Now let us take each interior opposite angle asx ( as both interior opposite angles are equal)
⇒ x + x = 105∘
⇒ 2x = 105∘
⇒ x = 52.5∘
So the value of each of the opposite interior angle= 52.5∘
Answer: Option B. -> False
:
B
Parallel lines never intersect.
:
B
Parallel lines never intersect.
Answer: Option A. -> True
:
A
A line canbe extended infinitely in both the directions. Whereas aline segment is a part of a line that is bounded by two distinct end points.
:
A
A line canbe extended infinitely in both the directions. Whereas aline segment is a part of a line that is bounded by two distinct end points.
Answer: Option C. -> IV only.
:
C
If two angles are supplementary, then thesum of the angles will be 180∘.
:
C
If two angles are supplementary, then thesum of the angles will be 180∘.
Answer: Option B. -> Adjacent angles
:
B
Adjacent angles are two angles that have a common vertex,a common arm and non common arms which lie on either side of the common arm.
In the given question, angles A and B share a common arm and a common vertex and hence these are adjacent angles.
:
B
Adjacent angles are two angles that have a common vertex,a common arm and non common arms which lie on either side of the common arm.
In the given question, angles A and B share a common arm and a common vertex and hence these are adjacent angles.
Answer: Option A. -> Both the statements are true and statement 2 is the correct explanation of statement 1.
:
A
The angle on a straight line is180∘. Adjacent angles on a straight line add up to180∘.
Conversely, if adjacent angles add up to180∘ then the angles are ona straight line.
Hence, if x + y = 180∘ , then A, B and C lie on a straight line.
Therefore, both the statements are true and statement 2 is the correct explanation of statement 1.
:
A
The angle on a straight line is180∘. Adjacent angles on a straight line add up to180∘.
Conversely, if adjacent angles add up to180∘ then the angles are ona straight line.
Hence, if x + y = 180∘ , then A, B and C lie on a straight line.
Therefore, both the statements are true and statement 2 is the correct explanation of statement 1.
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