Question

In a parallelogram ABCD, bisectors of angles A and B intersect each other at E which lies on DC, then find angle AED.​

Answer 1

the angle created by a AED is 90 degree

Answer 2

In a parallelogram ABCD, bisectors of angles A and B intersect each other at E which lies on DC, then find angle AEB.​ (This is the correct question)

Given:

Bisectors of angles A and B intersect each other at E which lies on DC.

To find:

angle AEB

Solution:

1) In the parallelogram y the angle sum property of the parallelogram we have,

• 2x + 2x +2y +2y = 360°

• 4x + 4y = 360°

• x + y = 90°

2)In ΔAEB ( by the angle sum property of the triangle)

• x+ y +∠AEB = 180°

• ∠AEB = 180-(x+y)

• ∠AEB = 180 - 90

• ∠AEB = 90°

The measurement of the required angle is 90°