Question

In triangle ABC angle A = 50 degree.BC is produced to point D .The bisectors angle ABC and angle ACD meet at E. Find angle E

Answer 1

Angle E is equal to 25 degrees.


Please refer the above photograph for the used process.



KEY POINTS TO REMEMBER :-


☸️ EXTERIOR ANGLE PROPERTY OF A TRIANGLE :-
The exterior angle property of a triangle states that the exterior angle of a triangle is equal to the sum of interior opposite angles.


☸️ SUBSTITUTION :-
It is a process in which one value of a variable is equated with the other value of same variable.
For example:-
If x = 2y and x = 40
So, x = x
This means that 2y = 40 and y =20 degrees.

This is what substitution means.


☸️ ANGLE BISECTORS :-
The lines which divided an angle into two equal parts of equal value are known as the angle bisectors of the angle.


Thanks!

Answer 2

Answer:

E = 25° is the answer of this question