Question

given fig, AD = AE and BD = DE = CE. Find the measure of Angle EAC​

Answer 1

Answer:

15°

Step-by-step explanation:

in triangle ADE

AD = AE (given), hence

angle ADE = angle AED = 55°

andle ADB = 180 - angle ADE

= 180-55 = 125

similarly angle AEC = 125°

now, in triangle ABD and ACE

BD = CE (given)

AD = AE (given)

angle ADB = angle AEC = 125°

hence, triangles ABD and ACE are congruent

hence, angle ABD = angle ACE = 40°

now.

angle EAC = 180-(angle AEC+angle ACE)

= 180-(125+40)

= 180-165

= 15°