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NCERT Solutions for Class 7 Maths Chapter 5: Lines and Angles

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NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles is the best study material for those students who are finding difficulties in solving problems. These solutions can help students to clear their doubts quickly and understanding the topic effectively. Students who wish to score good marks in Maths practice NCERT Solutions for Class 7 Maths. NCERT Solutions for Class 7 Maths Chapter 5 – Lines and Angles of NCERT Solutions Class 7 Maths contains 2 exercises.

NCERT Solutions for Class 7 Maths Chapter 5 by Swiflearn are by far the best and most reliable NCERT Solutions that you can find on the internet. These NCERT Solutions for Class 7 Maths Chapter 5 are designed as per the CBSE Class 7 Maths Syllabus. These NCERT Solutions will surely make your learning convenient & fun. Students can also Download FREE PDF of NCERT Solutions Class 7 Chapter 5.

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NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles: EX 5.1 PDF

 

 

 

 

Question 1:
Find the complement of each of the following angles:

 

Solution:-

Question 2:
Find the supplement of each of the following angles:

 

 

Solution:-

 

Question 3:
Identify which of the following pairs of angles are complementary and
which are supplementary.

 

Question 4:
Find the angle which is equal to its complement.

Solution:-

 

Question 5.
Find the angle which is equal to its supplement.

Solution:-

Question 6:
In the given figure, ∠1 and ∠2 are supplementary angles. If ∠1 is
decreased, what changes should take place in ∠2 so that both angles still
remain supplementary.

 

Question 7:
Can two angles be supplementary if both of them are:
(i) Acute?
(ii) Obtuse?
(iii) Right?

 

Solution:-

 

Question 9:

(ii)
By observing,
No, as both the angles do not have a common vertex O and common arm OA.
Also, they have no non-common arms on both the side of the common arm.

(iii)
By observing,
Yes, as both the angles are having a common vertex i.e. O and a common arm OE.
Also the non-common arms OC and OD are on both the side of common arm.

(iv)
By observing the figure, we came to conclude that,
Yes, as both the angles have a common vertex i.e. O and a common arm OE.
Also their non-common arms OA and OB are opposite to each other.

(v)
Yes, both are formed by the intersection of two straight lines AB and CD.

Question 10:
Indicate which pairs of angles are:

 

(i) Vertically opposite angles.
(ii) Linear pairs.

 

Question13.
Fill in the blanks:
(i) If two angles are complementary, then the sum of their measures is
_______.
(ii) If two angles are supplementary, then the sum of their measures is
______.
(iii) Two angles forming a linear pair are _______________.
(iv) If two adjacent angles are supplementary, they form a ___________.
(v) If two lines intersect at a point, then the vertically opposite angles are
always _____________.
(vi) If two lines intersect at a point, and if one pair of vertically opposite
angles are acute angles, then the other pair of vertically opposite
angles are __________.

 

Solution:-
(i) Then the sum of their measures is 90o
.
(ii) The sum of their measures is 180o
.
(iii) Supplementary Angle.
(iv) Linear pair.
(v) Equal angles
(vi) Obtuse angles

 

Question 14:
In the adjoining figure, name the following pairs of angles.

 

(i) Obtuse vertically opposite angles
(ii) Adjacent complementary angles
(iii) Equal supplementary angles
(iv) Unequal supplementary angles
(v) Adjacent angles that do not form a linear pair

 

NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles: EX 5.2 PDF

 

 

Question 1:
State the property that is used in each of the following statements?

 

Solution:-
(i)
Property of corresponding angles
(ii)
Alternate interior angles property being used in this statement.
(iii)
Interior angles on the same side of transversal are supplementary angles.

 

Question 2:
In the adjoining figure, identify

(i) The pairs of corresponding angles.
(ii) The pairs of alternate interior angles.
(iii) The pairs of interior angles on the same side of the transversal.
(iv) The vertically opposite angles

 

Question 3:
In the adjoining figure, p ∥ q. Find the unknown angles

 

Question 4:
Find the value of x in each of the following figures if l ∥ m.

 

Question 5:
In the given figure, the arms of two angles are parallel

Question 6:
In the given figures below, decide whether l is parallel to m.

(i)

(ii)

(iii)

(iv)

 

Solution:-

 

 

 

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