Question

In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the angles is given. Hence find the measures of the following angles.
(i) ∠ART
(ii) ∠CTQ
(iii) ∠DTQ
(iv) ∠PRB

Answer 1

SOLUTION:-

given by:- line AB || line CD and line PQ is transversal. Measure of one of the angles is given.

(i) ∠ART
here , ∠ART = ∠BRQ [ ∠BRQ = 105]
then , [ ∠ART = 105] ans.
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(ii) ∠CTQ
here ,
∠BRT = 105 = ∠ARP
∠PRB = 180 - ∠ARP = 180-105 = 75
[∠PRB = ∠CTQ = 75] ANS
BCOZ AB||CD.
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(iii) ∠DTQ
here, ∠DTQ = ∠ARF [∠ARF = 105]
[ ∠DTQ = 105] ans
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(iv) ∠PRB
here , ∠PRB = 180- ∠ARF
=> ∠PRB = 180 - 105
=> [∠PRB = 75 ] ans


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Answer 2

Answer:

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