Answer:
segment AD and 15 degrees
Step-by-step explanation:
An altitude is where the line is perpendicular to the base.
I started by solving triangle BAD's third angle that isn't given, and used the sum of the angles of a triangle to solve 180-90-66=24 so angle BAD = 24 degrees
Next, I used the given that AE is a bisector of Angle BAC to establish that 1/2 the measure of Angle BAC = Angle BAD+Angle DAE
to solve for Angle BAC I took the largest triangle (BAC) and used the sum again to solve 180-36-66=78.
Then I substituted 78/2 into the equation I set up earlier so 78/2 = Angle BAD+Angle DAE
I substituted Angle BAD's measurement and simplified 78/2 to get 39=24+x
I then subtracted and got x=15
