Question

In the given figure, D , E are points on sides AB ,AC of ∆ ABC such that DE ∥ BC. If ∠B = 30° and ∠ A = 40°, find x° , y°, z°.​

Answer 1

Answer:

x°=30°, y°=110°, z°=110°

Step-by-step explanation:

∠B=∠x=30° (because, since DE∥BC they are corresponding angles)

∠z°=sum of all angles in a triangle-(∠A+∠x)

∠z°=180-(40+30)=110°

and,

∠z°=∠y°=110°(because, since DE∥BC they are corresponding angles)