Question

B
(v)
3x + 10°
O
2x
C С
D​

Answer 1

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.