Question

in the given figure AB = BC = CD if angle BAC =
25 degree then find the value of angle AED​

Answer 1

hope it will help you

MARK ME AS BRAINLIST .........

Answer 2

The value of angle AED=75 degree

Step-by-step explanation:

AB=BC=CD

Angle BAC=25 degree

In triangle ABC

AB=BC

Angle BAC=Angle BCA=25 degree

Angle made by equal sides are equal

$\angle BAC+\angle BCA+\angle ABC=180^{\circ}$

Using triangle angles sum property

Substitute the values

$25+25+\angle ABC=180$

$50+\angle ABC=180$

$\angle ABC=180-50=130$degree

Angle CDB=Angle BAC=25 degree

Reason: Angle subtended by same arc are equal.

In triangle BCD

BC=CD

Angle CDB=Angle CBD=25 degree

Angle made by equal sides are equal

Angle ABD=Angle ABC-angle CBD=130-25=105 degrees

Angle ABD=Angle ACD=105 degrees

Reason: Angle subtended by same arc are equal.

Angle ACD+angle AED=180 degree

Reason: Sum of opposite angle of cyclic quadrilateral is equal to 180 degree

Substitute the values

$105+\angl AED=180$

$\angle AED=180-105=75$ degree

The value of angle AED=75 degree

#Learns more:

https://brainly.in/question/12949680