Question

in figure 10.108 PQ is parallel to ab and PR is parallel to BC if QPR is 102 determine angle abc give reasons​

Answer 1

Answer:

REFER IN ATTACHMENT

MARK AS BRAINLIST ANSWER

Answer 2

Answer:

∠ABC = ∠CBK = 78°  

Step-by-step explanation:

Given : PQ || AB and PR || BC , ∠QPR = 102°

Construction : AB is produced to meet PR at K

Since, PQ ‖ AB

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

Since, PR ‖ BC

Therefore,

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

∠CBK = 180° – 102°

∠CBK = 78°

∠ABC = ∠CBK = 78°