Math, asked by StarTbia, 1 year ago

In the figure, DE ||BC, ∠A=30° and∠B=50°. Find the values of x, y and z.

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Answers

Answered by vivek401
78
this is the correct answer
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Answered by mysticd
85
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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