Question

in the figure DE parallel to BC, Angel A is 30 degrees and angel B is 50 degrees. find the values of X,y and Z

Answer 1

Step-by-step explanation:

Solution :

1 ) In ∆ABC,

<A + <B + <C = 180°

[ Angle sum property ]

=> 30° + 50° + z = 180°

=> 80° + z = 180°

=> z = 180° - 80°

=> z = 100°

2 ) In ∆ABC ,

DE // BC ,

BD is a transversal ,

y° = <B = 50° [ corresponding angles ]

3 ) DE // BC , CE is a transversal,..

x = z = 100° [ corresponding angles ]

Therefore ,

x = 100° , y = 50° , z = 100°

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