Question

In figure ,PQ || AB and PR || BC. if /_ OPR=102°, determine/_ ABC. Give reasons.​

Answer 1

Step-by-step explanation:

Extend line AB to meet line PR at point G.

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°