Question

1. State the property that is used in each of the
following statements?
© If all b, then angle 2 = angle 2
(1) If angle 4 = angle 6 ,then all b.
(i) If angle 4 + angle 5 ,= 180°, then all b.
2. In the adjoining figure, identify
(1) the pairs of corresponding angles.
(ii) the pairs of alternate interior angles.
(iii) the pairs of interior angles on the same side of transversal
(iv) the vertically opposite angles on the same sede of transversal

Answer 1

Answer:

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Answer 2

Answer:

1. (i) a||b also ∠ 1 and ∠5 are corresponding angles.

  (ii)∠ 4 =  6 are alternate interior angles.

  (iii) ∠ 4+  ∠5 =180 are interior angles of the same side of the transversal are supplementary.

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2. (i) pairs of corresponding angles are as  follow:

∠ 1 and∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

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(ii) pairs of alternate interior angles are as follow:

∠2 ,∠8

∠3,∠5

------------------------------------------------------------------------------------------------------------ (iii) pairs of alternate are interior angles of the same side of the transversal  are as follows:

∠2 and ∠5

∠3 and ∠8

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(iv)pairs of vertically opposite angles are as follow:

∠ 1 & ∠3

∠2 & ∠4

∠5 & ∠7

∠6 & ∠8

Hope all of you understand.....