Question

In Fig.10.117,PQ||AB and PR||BC If angle QPR =120°, determine angle ABC. Give reason​

Answer 1

Answer:

Given:

PQ || AB, ∠QPR = ∠BGR =102° [Corresponding angles of parallel lines are equal] And PR || BC,

∠RGB+ ∠CBG =180° [Corresponding angles are supplementary]

∠CBG = 180° – 102° = 78°

Since, ∠CBG = ∠ABC

∠ABC = 78°