NCERT Solution For Class 7 Maths – Lines And Angles

NCERT Solutions is known as an extremely helpful resource for preparing for the exam. Takshila Learning provides its learners with access to a wealth of NCERT problems and their solutions. CBSE Class 7 Science NCERT Solutions are built by subject matter experts, so be sure to train learners for a good grade. The questions set out in the NCERT

NCERT Solution For Class 7 Maths – Integers provides us with all-inclusive information on all concepts. As students would have to learn the basics about the subject in class 7, this curriculum for class 7 is comprehensive study material, which explains the concepts in a great way.

Questions Covered : 

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

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

Question 3 : Identify which of the following pairs of angles are complementary and which are supplementary?
(i) 65°, 115°
(ii) 63°, 27°
(iii) 112°, 68°
(iv) 130°, 50°
(v) 45°, 45°
(vi) 80°, 10°

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

Question 5 : In the given figure, ∠1 and ∠2 are supplementary angles.
If ∠1 is decreased, what changes should take place in∠2 so that both the angles still remain supplementary.

Question 6 : An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45 °?

Question 7 : In the following figure:
(i) Is ∠1 adjacent to ∠2?
(ii) Is ∠AOC adjacent to∠AOE?
(iii) Do ∠COE and ∠EOD form a linear pair?
(iv) Are ∠BOD and ∠DOA supplementary?
(v) Is ∠1 vertically opposite angle to ∠4?
(vi) What is the vertically opposite angle of ∠5?

Question 8 : Indicate which pairs of angles are:
(i) Vertically opposite angles
(ii) Linear pairs

Question 9 : In the following figure, is ∠1 adjacent to ∠2? Give reasons.

Question 10 : Find the values of the angles x, y and z in each of the following:

Question 11 : 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 ______ .

Question 12 : In the given 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 but do not form a linear pair.

Question 13 : State the property that is used in each of the following statements?
(i) If a ∥ b, then ∠1 = ∠5.
(ii) If ∠4 = ∠6, then a ∥ b.
(iii) If ∠4 + ∠5 = 180o, then a ∥ b.

Question 14 : 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 15 : In the adjoining figure, p ∥ q. Find the unknown angles.

Question 16 : Find the value of x in each of the following figures if l ∥ m.

Question 17 : In the given figure, the arms of two angles are parallel.

If ∠ABC = 70o, then find
(i) ∠DGC
(ii) ∠DEF

Question 18 : In the given figures below, decide whether l is parallel to m.
(i)
(ii)
(iii)
(iv)