Question

in the adjoining figure,AB||CD and AB||EF . if EA BA and angle BEF =55°, then the value of X,Y and Z:-
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Answer 1

Answer:As AE is a perpendicular to CD,AB,EF ;angle z + 55 = 90. So, angle z = 90 - 55 = 35 degrees

We have a statement that Sum of opposite interior angles of an one interior angle of a triangle is equal to the exterior angle of that interior angle. That means, Sum of angle BAC + angle z = angle x

So, 90 + 35 = angle x

        angle x = 125 degrees.

 

As EB is a tnnasversal for AB & CD, angle x & angle y are corresponding angles. We know that corresponding angles are equal.

So, x = 125 degrees, y = 125 degrees & z = 35 degrees

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Step-by-step explanation: