Question

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Answer 1

the value of x is 132 ab is parallel to cd then alternate interior angle are same ....

Answer 2

Step-by-step explanation:

(i)

<PQR = 110

<RST = 130

By parallel line property (interior opposite angles)

<QRS = (130+110) - 180 = 60

(ii)

<x = <APQ = 50 degree  [Interior opposite angles]

<PRC = 180 - 127 = 53

<PRC = <BPR = 53 [interior opposite angles]

<y = 180 - (50+53) = 77

(iii)

<x = 360 - (110+40+78) = 360 - 228 = 132