SOLUTION: In concave quadrilateral ABCD, the angle at A measures 44°. △ABD is isosceles,
BC bisects ∠ABD,
and DC bisects ∠ADB
What are the measures (in degrees) of
∠ABC, ∠A
Question 1192599: In concave quadrilateral ABCD, the angle at A measures 44°. △ABD is isosceles,
BC bisects ∠ABD,
and DC bisects ∠ADB
What are the measures (in degrees) of
∠ABC, ∠ADC, and ∠1?
we have a ISOSCELES TRIANGLE, but we are given the VERTEX ANGLE (which is ANGLE A and it equals 44 degrees). Now again, we need to begin with is equation BASE ANGLE + VERTEX ANGLE+ SECOND BASE ANGLE = 180. If you make both base angles a variable ,and the vertex angle 80 ,you will find the value of 'x' , which is a base angle. Now, once you obtain the BASE ANGLE , you need to "BISECT" these base angles, because this will give you the measure of angle ABC and ADC ,
Then you need to take the "small" triangle inside the bigger triangle (ABD),you again use the equation BASE ANGLE + VERTEX ANGLE+ SECOND BASE ANGLE = 180, but the base angles will be your answer for BISECTED angles ... which, in turn, will give you angle 1 Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
I just drew the figure and found the angles.That's here:
http://www.algebra.com/tutors/students/your-answer.mpl?question=1192572
Edwin