(i) Given, a||b, then ∠1 = ∠5 [Corresponding angles] If two parallel lines are cut by a transversal, each pair of corresponding angles are equal in measure. (ii) Given, ∠4 = ∠6, then a||b [Alternate interior angles] When a transversal cuts two lines such that pairs of alternate interior angles are eRead more
(i) Given, a||b, then ∠1 = ∠5 [Corresponding angles]
If two parallel lines are cut by a transversal, each pair of corresponding
angles are equal in measure.
(ii) Given, ∠4 = ∠6, then a||b [Alternate interior angles]
When a transversal cuts two lines such that pairs of alternate interior
angles are equal, the lines have to be parallel.
(iii) Given, ∠4 + ∠5 = 180°, then a||b [Co-interior Angles]
When a transversal cuts two lines, such that pairs of interior angles on the
same side of transversal are supplementary, the lines have to be parallel.
(i) Obtuse vertically opposite angles means greater than 90° and equal ∠AOD = ∠BOC. (ii) Adjacent complementary angles means angles have common vertex, common arm, non-common arms are on either side of common arm and sum of angles is 90° . (iii) Equal supplementary angles means sum of angles is 180°Read more
(i) Obtuse vertically opposite angles means greater than 90° and equal
∠AOD = ∠BOC.
(ii) Adjacent complementary angles means angles have common vertex,
common arm, non-common arms are on either side of common arm and
sum of angles is 90° .
(iii) Equal supplementary angles means sum of angles is 180° and supplement
angles are equal.
(iv) Unequal supplementary angles means sum of angles is 180° and
supplement angles are unequal.
i.e., ∠AOE, ∠EOC; ∠AOD, ∠DOC and ∠AOB, ∠BOC
(v) Adjacent angles that do not form a linear pair mean, angles have common
ray but the angles in a linear pair are not supplementary.
i.e., ∠AOB, ∠AOE; ∠AOE, ∠EOD and ∠EOD, ∠COD
(i) If two angles are complementary, then the sum of their measures is 90°. (ii) If two angles are supplementary, then the sum of their measures is 180°. (iii) Two angles forming a linear pair are supplementary. (iv) If two adjacent angles are supplementary, they form a linear pair. Class 7 Maths ChRead more
(i) If two angles are complementary, then the sum of their measures is 90°.
(ii) If two angles are supplementary, then the sum of their measures is 180°.
(iii) Two angles forming a linear pair are supplementary.
(iv) If two adjacent angles are supplementary, they form a linear pair.
(i) x = 55° [Vertically opposite angles] Now 55° + y = 180° [Linear pair] ⇒ y = 180° - 55° = 125° Also y = z = 125° [Vertically opposite angles] Thus, x = 55°, y = 125° and z = 125°. (ii) 40° + x + 25° = 180° [Angles on straight line] ⇒ 65° + x = 180° ⇒ x = 180° - 65° = 115° Now 40° + y = 180° [LineRead more
(i) x = 55° [Vertically opposite angles]
Now 55° + y = 180° [Linear pair]
⇒ y = 180° – 55° = 125°
Also y = z = 125° [Vertically opposite angles]
Thus, x = 55°, y = 125° and z = 125°.
(ii) 40° + x + 25° = 180° [Angles on straight line]
⇒ 65° + x = 180°
⇒ x = 180° – 65° = 115°
Now 40° + y = 180° [Linear pair]
⇒ y = 180° – 40° = 140° ……….(i)
Also y+z = 180°
⇒ 140° + z = 180° [Linear pair]
⇒ z = 180° – 140° = 40° [From equation (i)]
Thus, x = 115°, y = 140° and z = 40°
∠1 and ∠2 are not adjacent angles because their vertex is not common. Class 7 Maths Chapter 5 Exercise 5.1 for more answers vist to: https://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-5/
∠1 and ∠2 are not adjacent angles because their vertex is not common.
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 + 180°, then a||b.
(i) Given, a||b, then ∠1 = ∠5 [Corresponding angles] If two parallel lines are cut by a transversal, each pair of corresponding angles are equal in measure. (ii) Given, ∠4 = ∠6, then a||b [Alternate interior angles] When a transversal cuts two lines such that pairs of alternate interior angles are eRead more
(i) Given, a||b, then ∠1 = ∠5 [Corresponding angles]
If two parallel lines are cut by a transversal, each pair of corresponding
angles are equal in measure.
(ii) Given, ∠4 = ∠6, then a||b [Alternate interior angles]
When a transversal cuts two lines such that pairs of alternate interior
angles are equal, the lines have to be parallel.
(iii) Given, ∠4 + ∠5 = 180°, then a||b [Co-interior Angles]
When a transversal cuts two lines, such that pairs of interior angles on the
same side of transversal are supplementary, the lines have to be parallel.
Class 7 Maths Chapter 5 Exercise 5.2
for more answers vist to:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-5/
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.
(i) Obtuse vertically opposite angles means greater than 90° and equal ∠AOD = ∠BOC. (ii) Adjacent complementary angles means angles have common vertex, common arm, non-common arms are on either side of common arm and sum of angles is 90° . (iii) Equal supplementary angles means sum of angles is 180°Read more
(i) Obtuse vertically opposite angles means greater than 90° and equal
∠AOD = ∠BOC.
(ii) Adjacent complementary angles means angles have common vertex,
common arm, non-common arms are on either side of common arm and
sum of angles is 90° .
(iii) Equal supplementary angles means sum of angles is 180° and supplement
angles are equal.
(iv) Unequal supplementary angles means sum of angles is 180° and
supplement angles are unequal.
i.e., ∠AOE, ∠EOC; ∠AOD, ∠DOC and ∠AOB, ∠BOC
(v) Adjacent angles that do not form a linear pair mean, angles have common
ray but the angles in a linear pair are not supplementary.
i.e., ∠AOB, ∠AOE; ∠AOE, ∠EOD and ∠EOD, ∠COD
Class 7 Maths Chapter 5 Exercise 5.1
for more answers vist to:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-5/
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 _______________.
(i) If two angles are complementary, then the sum of their measures is 90°. (ii) If two angles are supplementary, then the sum of their measures is 180°. (iii) Two angles forming a linear pair are supplementary. (iv) If two adjacent angles are supplementary, they form a linear pair. Class 7 Maths ChRead more
(i) If two angles are complementary, then the sum of their measures is 90°.
(ii) If two angles are supplementary, then the sum of their measures is 180°.
(iii) Two angles forming a linear pair are supplementary.
(iv) If two adjacent angles are supplementary, they form a linear pair.
Class 7 Maths Chapter 5 Exercise 5.1
for more answers vist to:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-5/
Find the values of the angles x, y and z in each of the following.
(i) x = 55° [Vertically opposite angles] Now 55° + y = 180° [Linear pair] ⇒ y = 180° - 55° = 125° Also y = z = 125° [Vertically opposite angles] Thus, x = 55°, y = 125° and z = 125°. (ii) 40° + x + 25° = 180° [Angles on straight line] ⇒ 65° + x = 180° ⇒ x = 180° - 65° = 115° Now 40° + y = 180° [LineRead more
(i) x = 55° [Vertically opposite angles]
Now 55° + y = 180° [Linear pair]
⇒ y = 180° – 55° = 125°
Also y = z = 125° [Vertically opposite angles]
Thus, x = 55°, y = 125° and z = 125°.
(ii) 40° + x + 25° = 180° [Angles on straight line]
⇒ 65° + x = 180°
⇒ x = 180° – 65° = 115°
Now 40° + y = 180° [Linear pair]
⇒ y = 180° – 40° = 140° ……….(i)
Also y+z = 180°
⇒ 140° + z = 180° [Linear pair]
⇒ z = 180° – 140° = 40° [From equation (i)]
Thus, x = 115°, y = 140° and z = 40°
Class 7 Maths Chapter 5 Exercise 5.1
for more answers vist to:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-5/
In the following figure, is ∠1 adjacent to ∠2? Give reasons
∠1 and ∠2 are not adjacent angles because their vertex is not common. Class 7 Maths Chapter 5 Exercise 5.1 for more answers vist to: https://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-5/
∠1 and ∠2 are not adjacent angles because their vertex is not common.
Class 7 Maths Chapter 5 Exercise 5.1
for more answers vist to:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-5/