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 ΔADE

Question

Mathematics

Elisa Stafford

31 January, 23:25

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 ΔADE

+4

Answers (1)

Know the Answer?

Sophia Lucas · Answer 1

Step-by-step explanation:

∠ADE = ∠CAB - 34

∠ADE = (1/) of ∠CAB because of alternate interior angles of parallel lines

(1/2) ∠CAB = ∠CAB - 34 = > ∠CAB = 68° and ∠ADE = 34°

In ΔABC,ADandBEare the angle bisectors of ∠A and ∠B andDE║AB. If m∠ADE is with 34° smaller than m∠CAB, find the measures of the angles of ΔADE

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 ΔADE