Question

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

Answer 1

Answer:

x=30°, y=110°, z=110°

Step-by-step explanation:

In ΔABC,

<CAB+<CBA+<ACB=180°(angle sum property)

40°+30°+y=180°

70°+y=180°

y=180°-70°

y=110°

y=z=110°(corresponding angles)

z=110°

In ΔAED,

<EAD+<AED+<EDA=180°

40°+110°+x=180°

150°+x=180°

x=180°-150°

x=30°