Question

3. In the figure, find the value of x.
A
40
EL
100
F
90
2
8
c
D​

Answer 1

Answer:

$\huge\bold\pink {ANSWER}$

∠GEF=180−∠CEF(∵∠GEF and ∠CEF are complementary angles)

∴∠GEF=30

o

and ∠GCD=∠GEF (from the figure, CD∣∣EF)

⇒∠GCD=30

o

Now, ∠BCD=∠BCG+∠GCD

⇒∠BCD=25

o

+30

o

=55

o

∠ABC=∠BCD(∵AB∣∣CD)

∠ABC=x=55

o

Therefore the value of x is 55.

Step-by-step explanation:

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