Question

in the given figure ABCD is a trapezium in which AB||CD. The side CD is produced both sides. If <ADE = 50° and <A= <B find the value of x .​

Answer 1

Step-by-step explanation:

In trapezium ABCD, AB||CD and CD is produced on both sides to E and F, therefore AB||EF

AB||EF and AD is a transversal, so

<A = <ADE = 50° (Alternate interior angles are equal)

Similarly <B = x (Alternate interior angles are equal)

But, <A = <B, therefore

x = 50°

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