Students can Download Chapter 5 Lines and Angles Ex 5.2, Question and Answers, Notes Pdf, KSEEB Solutions for Class 7 Maths, Karnataka State Board Solutions help you to revise complete Syllabus and score more marks in your examinations.

## Karnataka State Syllabus Class 7 Maths Chapter 5 Lines and Angles Ex 5.2

Question 1.

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

i) If a || b, then ∠1 = ∠5

Solution:

The two parallel lines a & b are cut by a transversal then ∠1 = ∠5 because they are corresponding angles. So they have equal measure.

ii) If ∠4 = ∠6, then a || b.

Solution:

If ∠4 and ∠6 are equal measures they are interior alternate angles. So. a is parallel to b.

iii) If ∠4 + ∠5 = 180°, then a || b.

Solution:

Here two parallel lines are cut by transversal, ∠4 and ∠5 are pairs of interior angles on the same side of the transversal are supplementary.

Question 2.

In the adjoining figure, identify

i) the pairs of corresponding angles.

Solution:

There are 4 pairs of corresponding angles,

a) ∠1 and ∠5

b) ∠2 and ∠6

c) ∠4 and ∠8

d) ∠3 and ∠7

ii) the pairs of alternate interior angles.

Solution:

There are 2 pairs of alternate interior angles. They are

a) ∠3 and ∠5

b) ∠2 and ∠8

iii) the pairs of interior angles on the same side of the transversal.

Solution:

There are 2 pairs interior angles on the same side of the transversal, they are

a) ∠3 and ∠8

b) ∠2 and ∠5

iv) the vertically opposite angles.

Solution:

There are 4 pairs of vertically opposite angles. They are

a) ∠1 and ∠3

b) ∠2 and ∠4

c) ∠5 and ∠7

d) ∠6 and ∠8.

Question 3.

In the adjoining figure, p || q. Find the unknown angles.

Solution:

The unknown angles are

∠e = 180° – 125° = 55° (supplementary angles)

∠f = ∠e = 55° (∵ vertically opposite angles)

∠a = ∠e = 55° ∠b = 125°

∠c = ∠a = 55° (∵ vertically opposite angles)

∠d = ∠b = 125°

Question 4.

Find the value of x in each of the following figures if l || m.

Solution:

Question 5.

In the given figure, the arms of two angles are parallel. If ∠ABC = 70°, then find

Solution:

i) ∠DGC

∠DGC = ∠ABC = 70°

ii) ∠DEF

∠DEF = ∠ABC = 70°

Question 6.

In given figures below, decide whether l is parallel to m.

i)

l is not parallel to m. ( ∵ the sum of the angles are not supplementary. 126 + 44 = 170 ≠ 180)

ii)

l is not parallel to m

iii)

l is parallel to m

(∵ 123 + 57 = 180)

iv) l is not parallel to m.