Question
Asked Nov 4, 2019
Problem #2: Consider the following figure.
ro uf
A
foxd
D
759
C
B
Given information:
MLACB 75°
AABC is an isosceles triangle with AB
BC BD DE
AC.
Co
partalect
Determine the following.
FD I BC.ONtolci ent
গ
a. MLFDB
10)
oucdo cd
E 20liz BUTCH
b. MLEDA
TA.
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Problem #2: Consider the following figure. ro uf A foxd D 759 C B Given information: MLACB 75° AABC is an isosceles triangle with AB BC BD DE AC. Co partalect Determine the following. FD I BC.ONtolci ent গ a. MLFDB 10) oucdo cd E 20liz BUTCH b. MLEDA TA.

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Expert Answer

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Step 1

In triangle BCD, BC=BD.

So, <BCD=<BDC=75

<DBC= 180-(75+75)= 30.

A
E
F
759
75
C
30
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A E F 759 75 C 30

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Step 2

FD || BC , so <FDB = <DBC . (Alternate angle)

So, <FDB= 30 degree

Answer: <FDB= 30 degree

A
E
F
30
30
758
Ве
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A E F 30 30 758 Ве

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Step 3

Since triangle ABC is isosceles with AB=AC

So,  <ABC= < ACB = 75

...

A
E
F
30
45
75
30
738
C
B
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A E F 30 45 75 30 738 C B

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