Question

In the figure, PQ||AB and PR||BC. If angle QPR=110 degrees finds angle ABC

Answer 1

Step-by-step explanation:

Given In the figure, PQ||AB and PR||BC. If angle QPR = 110 degrees finds angle ABC

• We need to findangle  ABC
• Now produce BA to meet PR at a point o  
• Also produce BA to meet PR at a point m
• Also given PQ is parallel to GB.
• So QPR and RMB are corresponding angles.
• Therefore angle RMB = angle angle QPR
• Given angle QPR = 110 degree
• Therefore angle RMB = 110 degree
• Similarly PR is parallel to BC
• Therefore angle ABC and angle RGB are consecutive interior angles.
• So angle ABC + RMB = 180 degree
• So angle ABC + 110 = 180 degree
• Angle ABC = 180 – 110
• Or angle ABC = 70 degree