Question

If the given figure two lines AB and CD intersect each other at a point E. Find the value of x, y, z.

Answer 1

Since FE bisects AED

2x + x + x = 180° ( linear pair )

4x = 180°

2x = 90°

2x = y = 90° ( vertically opposite angles )

y + z = 180° ( linear pair )

z = 180°- 90°

z = 90°

Hence

x = 45°

y = 90°

z = 90°

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