In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees. Find angle ABD.

LiIIiam0216 Jun 21, 2024

#1**0 **

Because AB=AD, triangle ABD is isosceles, so angle ABD is equal to angle ADB. We are already given angle BAD is 17 degrees. If we call the measure of angle ABD x, then 2x+17=180, so \(x=\frac{163}{2}\).

Feel free to tell me if I did anything wrong! :D

Tottenham10 Jun 21, 2024