Q2 of 115 Page 8

In Fig 8.106, l, m and n are parallel lines intersected by transversal p at X, Y and and Z respectively. Find ∠1, ∠2 and∠3.

From the given figure,

∠3 + ∠myz = 180o(Linear pair)


∠3 = 60o


Now,


Line l ‖ m


∠1 = ∠3 (Corresponding angles)


∠1 = 60o


Now, m ‖ n


∠2 = 120o(Alternate interior angle)


Therefore,


∠1 = ∠3 = 60o


∠2 = 120o


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Fill in the blanks so as to make the following statements true:

(i) If one angle of a linear pair is acute, then its other angle will be ………..


(ii) A ray stands on a line, then the sum of the two adjacent angles so formed is …………


(iii) If the sum of two adjacent angles is 180°, then the ………….arms of the two angles are opposites rays.

 1

In Fig 8.105, AB, CD and ∠1 and ∠2 are in the ratio 3 : 2. Determine all angles from 1 to 8.

 3

In Fig 8.107, AB ||CD ||EF and GH ||KL. Find ∠HKL.

 4

In Fig 8.108, show that AB|| EF.