Question

In the figure, DE||BC , angle a = 30°and angle b = 50° .Find the values of x,y and z​

Answer 1

value of y= 50 {corresponding angles}

value of x

30+x+y=180

x= 180-80

=100

value of z

=100 {corresponding angles}

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Answer 2

Answer:

Angle z=180-(50+30)     (angle sum property of a triangle)

therefore,angle z=180-80=100 degrees

since de is parallel to bc,ac is the transversal

Therefore,the alternate interior angles are equal.

so,angle x=100 degrees,angle y=50 degrees

Therefore,angle x=100 degrees,angle y=50 degrees and angle z=100 degrees.

Step-by-step explanation: