Question

In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE ║ AB . If ∠ADE is with 34° smaller than ∠CAB, find the measures of the angles of ΔADE.

Answer 1

In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE║AB . If m∠ADE is with 34° smaller than m∠CAB, find the measures of the angles of ADE
.
In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE║AB . 

If m∠ADE is  34° smaller than m∠CAB, find the measures of the angles of ΔADE.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

1. Make a sketch.


2. The angle ADE is congruent to the angle DAB, since they are alternate interior angles. See the lesson Parallel lines in this site.


3. Hence, the angle DAB is 34° smaller than the angle CAB.


4. At the same time the angle DAB is half of the angle CAB. It implies that the measure of the angle CAB is 2*34° = 78°.

5. In turn, it implies that in the triangle ADE angle EAD is 34°; angle EDA is 34°; angle AED is 180° - 34° - 34° = 102°.

Answer. in the triangle ADE angle EAD is 34°; angle EDA is 34°; angle AED is 180° - 34° - 34° = 102°. 

Answer 2

Answer:

Answer. in the triangle ADE angle EAD is

34°; angle EDA is 34°; angle AED is 180° -

34° - 34° = 102°.

hope it helps plz mark me brainliest dear