Question

In the figure, AD//BC and BE is the bisector of the angle ABC. Find x.

Please give the correct answer!! ​

Answer 1

Step-by-step explanation:

In the figure, AD//BC and BE is the bisector of the angle ABC. Find x.

angle BAD =80°

angle X + angle BAD =180°

therefore , angle X= 180°-angle BAD

angle X= 100°

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Answer 2

Answer:

Step-by-step explanation:

Extend the parallel lines AD and BC

Exterior ∠B = interior ∠A as they are alternate interior opposite angles.

Then interior ∠B = 180 - 80 = 100 as they form a linear pair.

Since BE bisects ∠B, ∠EBA = ∠EBC = 100/2 = 50

Now, exterior angle, x = 80 + 50 = 130 since it is the sum of interior opposite angles of the triangle