Question

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Q.1) In fig. line AB ||line CD and line PQ is transversal
measure of one of the angles is given. Hence find <A
the measures of the angles :

i) ART ii) CTQ. iii) DTQ iv) PRB​

Answer 1

Answer:

1)Angle ART +Angle BRT=180[Linear pair]

Angle ART+105=180

Angle ART=180-105

Angle ART=75

2)Angle ART=Angle CTQ=75[Corresponding angles]

Angle CTQ=75

3)Angle CTQ+Angle DTQ=180[Linear pair]

75+Angle DTQ=180

Angle DTQ=180-75

Angle DTQ=105

4)Angle PRB=Angle ART=75[Alternate angles]

Angle PRB=75

Answer 2

Answer:

75................... ......