in the adjoining figure AB | | DE, BAC = 38° AND CDE = 52° the find DEC and DCE
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0
Answer:
ANSWER
Given: AD is the bisector of ∠BAC
and by Angle-Bisector theorem which states that
if a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the other two sides.
∴
DB
CD
=
AB
AC
⟹
BC−CD
CD
=
10
6
⟹
CD(
CD
BC
−1)
CD
=
10
6
⟹
CD
BC
=
6
10
+1
⟹
CD
12
=
9
16
CD=
2
9
=4.5cm
And BC−CD=DB
12−4.5=DB
DB=7.5cm
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