Q6 of 115 Page 8

In Fig 8.110, PQ||AB and PR||BC. If ∠QPR = 102°, determine ∠ABC. Give reasons.

AB is produced to meet PR at K

Since, PQ ‖ AB


∠QPR = ∠BKR = 102o (Corresponding angles)


Since, PR ‖ BC


Therefore,


∠RKB + ∠CBK = 180o (Co. interior angles)


∠CKB = 180o – 102o


= 78o


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