Question

AB parllel CD , angle BDC = 30 , angle =80 , find x,y,z .​

Answer 1

X=30°,Y=100°andZ=80°

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Answer 2

Answer:

x=30, y=70, z=110

Step-by-step explanation:

In the given trapezium,

AB parallel CD and consider AC as a traversal,

now angle CAD = ACD (alternate interior angles)

so, x = 30°

Consider the triangle ADC,

here the sum of all angles in this triangle is 180

so, x+y+80=180

=> y+110=180

=> y = 70°

now consider the triangle ABC

here also the sum of all interior angles of the triangle is 180

so, 30+y-30+z=180

=> y+z=180

=> 70+z=180

=> z=180-70

=> z=110°